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All Common Core: High School - Functions Resources

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Want to review Common Core: High School - Functions but don’t feel like sitting for a whole test at the moment? Varsity Tutors has you covered with thousands of different Common Core: High School - Functions flashcards! Our Common Core: High School - Functions flashcards allow you to practice with as few or as many questions as you like. Get some studying in now with our numerous Common Core: High School - Functions flashcards.

Flashcards: Identifying Graphs & Effects of Function Manipulation: CCSS.Math.Content.HSF-BF.B.3

Given the function f(x)=x^2 identify the graphically effect f(x)-2 creates.

f(x)-2 moves the original function f(x)=x^2 up two units

f(x)-2 moves the original function f(x)=x^2 down two units

f(x)-2 moves the original function f(x)=x^2 left two units

f(x)-2 moves the original function f(x)=x^2 right two units

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Flashcards: Identifying Graphs & Effects of Function Manipulation: CCSS.Math.Content.HSF-BF.B.3

Given the function f(x)=x^2 identify the graphically effect f(x)-2 creates.

Your answer:

f(x)-2 moves the original function f(x)=x^2 up two units

Your answer:

f(x)-2 moves the original function f(x)=x^2 left two units

Your answer:

f(x)-2 moves the original function f(x)=x^2 right two units

Correct answer:

f(x)-2 moves the original function f(x)=x^2 down two units

Explanation:

This question is testing one's ability to identify the graphically transformation that algebraic manipulation to the function f(x) 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 f(x) .

Screen shot 2016 01 14 at 6.39.40 am

The function f(x) in the graph above has a -intercept at zero.

Step 2: Use technology to graph the new function f(x)-2

The function f(x)-2 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.

Q2 2

Given the original function f(x)=x^2 , the graphically effect f(x)-2 creates is a vertical shift down of two units.

Step 4: Answer the question.

In other words, f(x)-2 moves the original function f(x)=x^2 down two units.

Flashcards: Identifying Graphs & Effects of Function Manipulation: CCSS.Math.Content.HSF-BF.B.3

Given the function f(x)=x^2 identify the graphically effect f(x)+3 creates.

f(x)+3 moves the original function f(x)=x^2 to the left three units

f(x)+3 moves the original function f(x)=x^2 up three units

f(x)+3 moves the original function f(x)=x^2 down three units

f(x)+3 moves the original function f(x)=x^2 to the right three units

Report an Error Copyright Notice

Flashcards: Identifying Graphs & Effects of Function Manipulation: CCSS.Math.Content.HSF-BF.B.3

Given the function f(x)=x^2 identify the graphically effect f(x)+3 creates.

Your answer:

f(x)+3 moves the original function f(x)=x^2 to the left three units

Your answer:

f(x)+3 moves the original function f(x)=x^2 down three units

Your answer:

f(x)+3 moves the original function f(x)=x^2 to the right three units

Correct answer:

f(x)+3 moves the original function f(x)=x^2 up three units

Explanation:

This question is testing one's ability to identify the graphically transformation that algebraic manipulation to the function f(x) creates.

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 f(x) .

Screen shot 2016 01 14 at 6.39.40 am

The function f(x) in the graph above has a -intercept at zero.

Step 2: Use technology to graph the new function f(x)+3 .

Screen shot 2016 01 14 at 6.40.16 am

The function f(x)+3 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.

Screen shot 2016 01 14 at 6.40.49 am

Given the original function f(x)=x^2 , the graphically effect f(x)+3 creates is a vertical shift upwards of three units.

Step 4: Answer the question.

In other words, f(x)+3 moves the original function f(x)=x^2 up three units.

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All Common Core: High School - Functions Resources

Flashcards: Identifying Graphs & Effects of Function Manipulation: CCSS.Math.Content.HSF-BF.B.3

Flashcards: Identifying Graphs & Effects of Function Manipulation: CCSS.Math.Content.HSF-BF.B.3

Flashcards: Identifying Graphs & Effects of Function Manipulation: CCSS.Math.Content.HSF-BF.B.3

Flashcards: Identifying Graphs & Effects of Function Manipulation: CCSS.Math.Content.HSF-BF.B.3

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