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The graph of F(x), shown below, resembles the graph of G(x) = x², but it hasbeen changed somewhat. Which of the following could be the equation ofF(x)?OA Fx)=0.3x²+2 OB. F(x)=3x2+2OC. F(x) = -x²2² +2D. F(x)=x²+2

The graph of Fx shown below resembles the graph of Gx x but it hasbeen changed somewhat Which of the following could be the equation ofFxOA Fx03x2 OB Fx3x22OC F class=

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Answer:

Explanation:

Given the function:

[tex]G(x)=x^2[/tex]

The graph of G(x) is wider than the graph of F(x), so we can conclude that G(x) has been stretched vertically by a factor greater than 1 to obtain F(x).

Furthermore, G(x) was translated upwards by 2 units when we compare the vertices.

Thus, from the options,a possible equation for F(x) is:

[tex][/tex]

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