the function f (x) = x^2 -1 is reflected over the Y axis. choose the equation that correctly identifies g(x)
A. g (x) = x^2 + 1
B. g (x) = -x^2 +1
C. g (x) = -x^2 - 2
D. g (x) = x^2 - 1
To reflect a function over the y-axis, we replace x with -x in the original function.
In this case, the original function is f(x) = x^2 - 1.
Replacing x with -x, we get f(-x) = (-x)^2 - 1 = x^2 - 1.
Therefore, g(x) = f(-x) = x^2 - 1.
The correct equation that identifies g(x) is D. g(x) = x^2 - 1.