Question

Write an equation for the translation of y=|x| 8 units left

Answer 1

y = |X + 8|

Explanation:

This seems counterintuitive. However, if you've studied a graph of an equation, you would notice two observations:

1. If you add a positive integer to the X, the graph would shift to the left

2. (The converse) if you add a negative integer to the X, the graph would shift right.

Answer 2

y=|x + 8|

Explanation:

y = f(x + C) C > 0 moves it left

y=|x + 8| since we want to move it 8 units to the left