Question
Find g(x)
, 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 x squared minus x
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 x squared plus x
g(x)=−x2+x
, 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 x squared minus x
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 x squared plus x
g(x)=−x2+x
Answers
GPT-4o mini
To find \( g(x) \), which is the reflection over the y-axis of the function \( f(x) = x^2 - x \), we need to replace \( x \) with \( -x \) in the expression for \( f(x) \).
So, we calculate:
\[
g(x) = f(-x) = (-x)^2 - (-x)
\]
Calculating that gives:
\[
g(x) = x^2 + x
\]
Therefore, the correct response is:
\[
g(x) = x^2 + x
\]
So, we calculate:
\[
g(x) = f(-x) = (-x)^2 - (-x)
\]
Calculating that gives:
\[
g(x) = x^2 + x
\]
Therefore, the correct response is:
\[
g(x) = x^2 + x
\]