Question

vertical and horizontal translation quick check answers

Answer 1

A vertical translation shifts a function vertically up or down, while a horizontal translation shifts a function horizontally left or right.

Here are the answers to the quick check questions:

1. Vertical translation: The function y = x^2 + 3 is shifted vertically upward by 3 units.

2. Horizontal translation: The function y = sin(x - π/4) is shifted horizontally to the right by π/4 units.

3. Vertical translation: The function y = 2x - 5 is shifted vertically downward by 5 units.

4. Horizontal translation: The function y = log(x - 2) is shifted horizontally to the right by 2 units.