1. What is a vertical translation?
A vertical translation is a transformation that moves a graph up or down without changing its shape. This can be done by adding or subtracting a constant value to the function.
2. Give an example of a vertical translation.
For example, the function g(x) = x^2 + 3 is a vertical translation of the function f(x) = x^2. The graph of g(x) is the same as the graph of f(x), but it is shifted upward by 3 units.
3. What is a horizontal translation?
A horizontal translation is a transformation that moves a graph left or right without changing its shape. This can be done by adding or subtracting a constant value to the input variable (x).
4. Give an example of a horizontal translation.
For example, the function h(x) = (x - 2)^2 is a horizontal translation of the function f(x) = x^2. The graph of h(x) is the same as the graph of f(x), but it is shifted 2 units to the right.
5. True or False: A vertical translation affects the y-coordinates of the graph.
True. A vertical translation moves the graph up or down, which affects the y-coordinates.
6. True or False: A horizontal translation affects the x-coordinates of the graph.
True. A horizontal translation moves the graph left or right, which affects the x-coordinates.
Vertical & Horizontal Translations Practice
Complete this assessment to review what you've learned.
1 answer
1 answer