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The graph of F(x) can be stretched vertically and flipped over the x-axis to produce the graph of G(x) . If F(x) x^2 , which of the following could be the equation of G(x)

The graph of Fx can be stretched vertically and flipped over the xaxis to produce the graph of Gx If Fx x2 which of the following could be the equation of Gx class=

Respuesta :

Answer: (B) g(x)= -6x^2


Explanation:
If F(x) is stretched, then values of F(x) for some x-value will be increased by some multiple a, where a > 1.

But the graph is flipped, so the sign of of the values of F(x) for some x-value will change e.g. if f(x) = 5, flip of f(x) = -5.

Knowledge point: functions, parent functions, related graphs.

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