Question

What is the vertical shift for the graph of f(x) = (x + 5)³ - 7?

	A.	Down 5
	B.	Up 5
	C.	Down 7
	D.	Up 7

 

Answer 1

Graph: f(x) = (x + 5)³ - 7

 

If c is a positive real number, the graph of f(x) – c is the graph of y = f(x) shifted downward c units.

This function comes from the base function f(x) = x³.

Since 5 is added on the inside, this

is a horizontal shift Left 5 units, and since 7 is

subtracted on the outside, this is a vertical shift

down 7 units.

So option C is correct