Question

The graphs below have the same shape. Complete the equation of the redgraph. Enter exponents using the caret (-); for example, enter A as x^4. Donot include "G(X) =" in your answer.GOD = ?Fix) = 3 - X4G(X)=

Answer 1

Looking at the graphs, we can see that the red graph is the blue graph translated 2 units up.

In order to calculate the new function G(x), we can just add 2 units to the function F(x).

So we have:

`\begin{gathered} F(x)=3-x^4_{} \\ G(x)=F(x)+2 \\ G(x)=3-x^4+2 \\ G(x)=5-x^4 \end{gathered}`

So the function G(x) is 5 - x^4.