The graphs below have the same shape. what is the equation of the red graph?

Question

asked Mar 9, 2020 221k views

2 Answers

Pghtech · Answer 1 · 2020-03-15T16:03:59+0000

Answer:

Option D.
G(x)=x^(3)-1

Explanation:

we have

F(x)=x^(3) -----> the parent function

The vertex of the function F(x) is the origin (0,0)

The vertex of the function G(x) is the point (0,-1)

so

The rule of the translation is equal to

(x,y)------> (x,y-1)

That means ------> The translation is 1 unit down

Applying the rule of the translation to F(x)

F(x)-------> G(x)

G(x)=x^(3)-1