The function f(x)=x2−1 is reflected over the y-axis. Choose the equation that correctly identifies g(x)

Question

.(1 point)
Responses

g(x)=x^2−1

g(x)=x^2+1

g(x)=−x^2−2

g(x)=−x^2+1

Answer 1

To reflect the function \( f(x) = x^2 - 1 \) over the y-axis, we replace \( x \) with \( -x \).

The reflection of \( f(x) \) is:

\[ g(x) = f(-x) = (-x)^2 - 1 = x^2 - 1 \]

So, the correct equation identifying \( g(x) \) after reflecting over the y-axis is:

\[ g(x) = x^2 - 1 \]

The correct choice is:

g(x) = x^2 - 1.