Question

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) =

Answer 1

i think the answer might be A.

Answer 2

A.
`g(x)=-x^2`

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,

`f(x)=x^2`

After flipping the function over x-axis,

`g(x)=-f(x)`

`\implies g(x)=-x^2`

Hence, option 'A' is correct.