All Common Core: High School - Functions Resources
Example Questions
Example Question #1 : Identifying Graphs & Effects Of Function Manipulation: Ccss.Math.Content.Hsf Bf.B.3
Given the function identify the graphically effect
creates.
moves the original function
right two units
moves the original function
up two units
moves the original function
left two units
moves the original function
down two units
moves the original function
down two units
This question is testing one's ability to identify the graphically transformation that algebraic manipulation to the function creates.
For the purpose of Common Core Standards, "Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k ." falls within the Cluster B of "Build new functions from existing functions" concept (CCSS.MATH.CONTENT.HSF-BF.B.3).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use technology to graph the function .
The function in the graph above has a
-intercept at zero.
Step 2: Use technology to graph the new function
The function in the graph above has a
-intercept at negative two.
Step 3: Compare and interpret the two graphs to identify the graphically effect.
When the two functions are plotted on the same graph where the original function is in blue and the shifted function is in orange is below.
Given the original function , the graphically effect
creates is a vertical shift down of two units.
Step 4: Answer the question.
In other words, moves the original function
down two units.
Example Question #1 : Identifying Graphs & Effects Of Function Manipulation: Ccss.Math.Content.Hsf Bf.B.3
Given the function identify the graphically effect
creates.
moves the original function
to the left three units
moves the original function
down three units
moves the original function
up three units
moves the original function
to the right three units
moves the original function
up three units
This question is testing one's ability to identify the graphically transformation that algebraic manipulation to the function creates.
For the purpose of Common Core Standards, "Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k ." falls within the Cluster B of "Build new functions from existing functions" concept (CCSS.MATH.CONTENT.HSF-BF.B.3).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use technology to graph the function .
The function in the graph above has a
-intercept at zero.
Step 2: Use technology to graph the new function .
The function in the graph above has a
-intercept at three.
Step 3: Compare and interpret the two graphs to identify the graphically effect.
When the two functions are plotted on the same graph where the original function is in blue and the shifted function is in orange is below.
Given the original function , the graphically effect
creates is a vertical shift upwards of three units.
Step 4: Answer the question.
In other words, moves the original function
up three units.
Example Question #3 : Identifying Graphs & Effects Of Function Manipulation: Ccss.Math.Content.Hsf Bf.B.3
Given the function identify the graphically effect
creates.
moves the original function
up four units
moves the original function
to the right four units
moves the original function
down four units
moves the original function
to the left four units
moves the original function
up four units
This question is testing one's ability to identify the graphically transformation that algebraic manipulation to the function creates.
For the purpose of Common Core Standards, "Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k ." falls within the Cluster B of "Build new functions from existing functions" concept (CCSS.MATH.CONTENT.HSF-BF.B.3).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use technology to graph the function .
The function in the graph above has a
-intercept at zero.
Step 2: Use technology to graph the new function .
The function in the graph above has a
-intercept at four.
Step 3: Compare and interpret the two graphs to identify the graphically effect.
When the two functions are plotted on the same graph where the original function is in blue and the shifted function is in orange is below.
Given the original function , the graphically effect
creates is a vertical shift upwards of four units.
Step 4: Answer the question.
In other words, moves the original function
up four units.
Example Question #4 : Identifying Graphs & Effects Of Function Manipulation: Ccss.Math.Content.Hsf Bf.B.3
Given the function identify the graphically effect
creates.
moves the original function
up five units
moves the original function
left five units
moves the original function
down five units
moves the original function
right five units
moves the original function
down five units
This question is testing one's ability to identify the graphically transformation that algebraic manipulation to the function creates.
For the purpose of Common Core Standards, "Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k ." falls within the Cluster B of "Build new functions from existing functions" concept (CCSS.MATH.CONTENT.HSF-BF.B.3).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use technology to graph the function .
The function in the graph above has a
-intercept at zero.
Step 2: Use technology to graph the new function
The function in the graph above has a
-intercept at negative five.
Step 3: Compare and interpret the two graphs to identify the graphically effect.
When the two functions are plotted on the same graph where the original function is in blue and the shifted function is in orange is below.
Given the original function , the graphically effect
creates is a vertical shift down of five units.
Step 4: Answer the question.
In other words, moves the original function
down five units.
Example Question #5 : Identifying Graphs & Effects Of Function Manipulation: Ccss.Math.Content.Hsf Bf.B.3
Given the function identify the graphically effect
creates.
moves the original function
left one unit
moves the original function
up one unit
moves the original function
right one unit
moves the original function
down one unit
moves the original function
right one unit
This question is testing one's ability to identify the graphically transformation that algebraic manipulation to the function creates.
For the purpose of Common Core Standards, "Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k ." falls within the Cluster B of "Build new functions from existing functions" concept (CCSS.MATH.CONTENT.HSF-BF.B.3).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use technology to graph the function .
The function in the graph above has a
-intercept at zero.
Step 2: Use technology to graph the new function
The function in the graph above has a
-intercept at one and the vertex is moved to the right one unit.
Step 3: Compare and interpret the two graphs to identify the graphically effect.
When the two functions are plotted on the same graph where the original function is in blue and the shifted function is in orange is below.
Given the original function , the graphically effect
creates is a phase shift to the right one unit.
Step 4: Answer the question.
In other words, moves the original function
right one unit.
Example Question #6 : Identifying Graphs & Effects Of Function Manipulation: Ccss.Math.Content.Hsf Bf.B.3
Given the function identify the graphically effect
creates.
moves the original function
left one unit
moves the original function
up one unit
moves the original function
right one unit
moves the original function
down one unit
moves the original function
left one unit
This question is testing one's ability to identify the graphically transformation that algebraic manipulation to the function creates.
For the purpose of Common Core Standards, "Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k ." falls within the Cluster B of "Build new functions from existing functions" concept (CCSS.MATH.CONTENT.HSF-BF.B.3).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use technology to graph the function .
The function in the graph above has a
-intercept at zero.
Step 2: Use technology to graph the new function
The function in the graph above has a
-intercept at one and the vertex is moved to the left one unit.
Step 3: Compare and interpret the two graphs to identify the graphically effect.
When the two functions are plotted on the same graph where the original function is in blue and the shifted function is in orange is below.
Given the original function , the graphically effect
creates is a phase shift to the left one unit.
Step 4: Answer the question.
In other words, moves the original function
left one unit.
Example Question #7 : Identifying Graphs & Effects Of Function Manipulation: Ccss.Math.Content.Hsf Bf.B.3
Given the function identify the graphically effect
creates.
moves the original function
up two units
moves the original function
left two units
moves the original function
right two units
moves the original function
down two units
moves the original function
left two units
This question is testing one's ability to identify the graphically transformation that algebraic manipulation to the function creates.
For the purpose of Common Core Standards, "Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k ." falls within the Cluster B of "Build new functions from existing functions" concept (CCSS.MATH.CONTENT.HSF-BF.B.3).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use technology to graph the function .
The function in the graph above has a
-intercept at zero.
Step 2: Use technology to graph the new function
The function in the graph above has a
-intercept at four and the vertex is moved to the left two unit.
Step 3: Compare and interpret the two graphs to identify the graphically effect.
When the two functions are plotted on the same graph where the original function is in blue and the shifted function is in orange is below.
Given the original function , the graphically effect
creates is a phase shift to the left two units.
Step 4: Answer the question.
In other words, moves the original function
left two units.
Example Question #8 : Identifying Graphs & Effects Of Function Manipulation: Ccss.Math.Content.Hsf Bf.B.3
Given the function identify the graphically effect
creates.
moves the original function
down three units
moves the original function
right three units
moves the original function
left three units
moves the original function
up three units
moves the original function
right three units
This question is testing one's ability to identify the graphically transformation that algebraic manipulation to the function creates.
For the purpose of Common Core Standards, "Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k ." falls within the Cluster B of "Build new functions from existing functions" concept (CCSS.MATH.CONTENT.HSF-BF.B.3).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use technology to graph the function .
The function in the graph above has a
-intercept at zero.
Step 2: Use technology to graph the new function
The function in the graph above has a
-intercept at nine and the vertex is moved to the right three units.
Step 3: Compare and interpret the two graphs to identify the graphically effect.
When the two functions are plotted on the same graph where the original function is in blue and the shifted function is in orange is below.
Given the original function , the graphically effect
creates is a phase shift to the right three units.
Step 4: Answer the question.
In other words, moves the original function
right three units.
Example Question #9 : Identifying Graphs & Effects Of Function Manipulation: Ccss.Math.Content.Hsf Bf.B.3
Given the function identify the graphically effect
creates.
widens the original function
moves the original function
up two units
moves the original function
down two units
narrows the original function
narrows the original function
This question is testing one's ability to identify the graphically transformation that algebraic manipulation to the function creates.
For the purpose of Common Core Standards, "Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k ." falls within the Cluster B of "Build new functions from existing functions" concept (CCSS.MATH.CONTENT.HSF-BF.B.3).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use technology to graph the function .
The function in the graph above has a
-intercept at zero.
Step 2: Use technology to graph the new function
The function in the graph above has a
-intercept at zero and the graph narrows.
Step 3: Compare and interpret the two graphs to identify the graphically effect.
When the two functions are plotted on the same graph where the original function is in blue and the shifted function is in orange is below.
Step 4: Answer the question.
narrows the original function
Example Question #10 : Identifying Graphs & Effects Of Function Manipulation: Ccss.Math.Content.Hsf Bf.B.3
Given the function identify the graphically effect
creates.
moves the original function
up three units
moves the original function
down three units
narrows the original function
widens the original function
narrows the original function
This question is testing one's ability to identify the graphically transformation that algebraic manipulation to the function creates.
For the purpose of Common Core Standards, "Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k ." falls within the Cluster B of "Build new functions from existing functions" concept (CCSS.MATH.CONTENT.HSF-BF.B.3).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Use technology to graph the function .
The function in the graph above has a
-intercept at zero.
Step 2: Use technology to graph the new function
The function in the graph above has a
-intercept at zero and the graph narrows.
Step 3: Compare and interpret the two graphs to identify the graphically effect.
When the two functions are plotted on the same graph where the original function is in blue and the shifted function is in orange is below.
Step 4: Answer the question.
narrows the original function
All Common Core: High School - Functions Resources
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