A. Reflect y = x^2 – 2 across the x-axis.

Question

asked Jul 1, 2023 127k views

1 Answer

Anchandra · Answer 1 · 2023-07-06T20:35:23+0000

Given;

We are to reflect the function:

$y=x^2\text{ -2}$

Given a function f(x), the rule for reflecting across the x-axis is:

$\begin{gathered} f(x)\text{ }\rightarrow\text{ -f'(x)} \\ \text{where the arrow represents the transformation} \end{gathered}$

Hence, the reflection of the given function gives:

$\begin{gathered} y=f(x)=x^2\text{ -2} \\ f^(\prime)(x)=-(x^2-2) \\ =-x^2+2 \end{gathered}$

Thus the reflected function would be:

$y^{^(\prime)}=-x^2+2$