Question

Write the equation that is the translation of y = |x|left 6 units and down 4 units.

y = |x-6|-4
y = |x+6|-4
y = |x-4|-6
y = |x+|-6

Answer 1

y = |x-6|-4

Explanation:

If the function is translated left 6, you subtract 6 from the x value. Then if you go down 4, you are subtracting 4 from the y value. Before going down, y = |x-6|. So subtract 4 from that and you get y = |x-6|-4.