the function f(x) = x^2 - 1 is reflected over the y-axis. choose the equation thag correctly identifies g(x).

Question

A.g (x) = x^2 + 1
B. g (x) = x^2 - 1
C. g (x) = -x^2 + 1
D. g (x) = -x^2 -2

Answer 1

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

So, we compute:

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

Therefore, the correct equation that identifies \( g(x) \) after reflecting \( f(x) \) over the y-axis is:

B. \( g(x) = x^2 - 1 \).