The graphs below have the same shape. Complete the equation of the blue
graph. Enter exponents using the caret (^); for example, enter x as X^2. DO
not include "G(x) =" in your answer.

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swapnalimalwadeVT swapnalimalwadeVT · Answer 1 · 2022-05-09T13:35:46+02:00

The equation of the graph G(x) is (x - 4)^2 + 1.

We have given the graph below have the same shape.

We have to find the equation of the graph g(x).

We have to find the equation of g(x) by using the phase shifting.

A shift is a rigid translation in that it does not change the shape or size of the graph of the function.

Here we can see that the vertex of the graph in f(x) is (0,0) and the

vertex of the graph is g(x) is (4,1)

Therefore [tex]x^2[/tex] is replaced by [tex](x-4)^2[/tex].

and is shifted upward one unit therefore we get

[tex]G(x)=(x-4)^2+1[/tex]

Therefore we get the graph of g(x)= (x - 4)^2 + 1.

To learn more about the shift of graph visit:

https://brainly.com/question/24457739

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