Question

The graphs below have the same shape. Complete the equation of the red graph. Enter exponents using the caret (^); for example, enter x3 as x^3. Do not include "G(x) =" in your answer.

Answer 1

G(x) is the graph of F(x) translated 5 units down.
Therefore, G(x) = x^3 - 5.

Answer 2

Answer: The graph of G(x) is the graph of F(x) translated 5 units downward, then the equation of G(x) is:

G(x)=x^3-5

Solution:

F(x)=x^3

The graph of G(x) is the graph of F(x) translated 5 units downward, then the equation of G(x) is:

G(x)=F(x)-5

Replacing F(x) by x^3 in the equation above:

G(x)=x^3-5