Understanding Transformation of Graphs Using Matrices - Translation
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Beginner
Start here! Easy to understand
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Beginner Explanation
Translation shifts every point by adding a fixed vector. For example, translating (x, y) by (a, b) gives $(x + a, y + b)$.
Practice Problems
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1
Quick Quiz
Single Choice Quiz
Beginner
What is the new coordinate of point $(2, -1)$ after translating 5 units left and 2 units up?
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2
Real-World Problem
Question Exercise
Intermediate
Teenager Scenario
Imagine you are designing a video game where a character needs to move 3 units right and 4 units down. How would you represent this movement using matrices?
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3
Thinking Challenge
Thinking Exercise
Intermediate
Think About This
Translate the triangle with vertices at $(2, -1)$, $(4, 3)$, and $(-3, -2)$ by 5 units left and 2 units up. What are the new coordinates?
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4
Challenge Quiz
Single Choice Quiz
Advanced
If a function $f(x, y)$ is translated by matrix $\begin{bmatrix} -3 \\ 7 \end{bmatrix}$, what is the new position of $(6, 2)$?
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