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If you flip the graph of the quadratic parent function, f(x) = x2, over the x-axis, what is the equation of the new function?

A. g(x) = –x2
B. g(x) = x–2
C. g(x) = (–x)2
D. g(x) =

Respuesta :

demonzlayeryt
i think the answer might be A.

Answer:

A. [tex]g(x)=-x^2[/tex]

Step-by-step explanation:

In flipping across x-axis a function gives its mirror image through the x-axis,

That is, when a function f(x) is flipped over x-axis,

Then the new function would be -f(x).

Here, the given function,

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

After flipping the function over x-axis,

[tex]g(x)=-f(x)[/tex]

[tex]\implies g(x)=-x^2[/tex]

Hence, option 'A' is correct.

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