Write the equation that is the translation of y = |x| right 7 units and down 9 units.

A) y = |x-9|+7

B) y = |x+9|+7

C) y = |x+7|-9

D) y = |x-7|-9

The answer is D. When is says a translation right you have to subtract that number (a translation left means you have to add) and when you translate the equation down, you subtract.

f (x) + n - translation n units up

f (x) - n - translation n units down

f (x + n) - translation n units left

f (x - n) - translation n units right

translation 7 units right and 9 units down

f (x - 7) - 9 = |x - 7| - 9

Answer: D. y = |x - 7| - 9