Find g(x)

Question

, which is a reflection over the y-axis of f(x)=x2−x
.(1 point)
Responses

g(x)=−(x2−x)
g left parenthesis x right parenthesis equals negative left parenthesis x squared minus x right parenthesis

g(x)=−x2+x
g left parenthesis x right parenthesis equals negative x squared plus x

g(x)=−x2−x
g left parenthesis x right parenthesis equals negative x squared minus x

g(x)=x2+x

Answer 1

To find the reflection of the function \( f(x) = x^2 - x \) over the y-axis, we need to replace \( x \) with \( -x \) in the function.

So, we calculate:

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

Therefore, the function \( g(x) \) is:

\[ g(x) = x^2 + x \]

The correct response is:

g(x) = x² + x