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The graphs below hace the same shape. What is the equation of the blue graph?

The graphs below hace the same shape. What is the equation of the blue graph?-example-1

1 Answer

4 votes

ANSWER

C.
g(x) = {(x + 3)}^(2) - 2

Step-by-step explanation

The blue graph is obtained by shifting the red to the left by 3 units and down 2 units.

The vertex is now at (-3,-2).

The base function has equation:


f(x) = {x}^(2)

This implies that,


g(x) = f(x + 3) - 2


g(x) = {(x + 3)}^(2) - 2

The correct answer is C

User Curtis Allen
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