is reflected over the x-axis to create g(x)
. Identify the equation for g(x)
.(1 point)
Responses
g(x)=(−x+1)2
g left parenthesis x right parenthesis equals left parenthesis negative x plus 1 right parenthesis squared
g(x)=−(x+1)2
g left parenthesis x right parenthesis equals negative left parenthesis x plus 1 right parenthesis squared
g(x)=(−x−1)2
g left parenthesis x right parenthesis equals left parenthesis negative x minus 1 right parenthesis squared
g(x)=−x2+1
1 answer
To reflect the function \( f(x) = (x + 1)^2 \) over the x-axis, you need to negate the entire function. This means that:
\[ g(x) = -f(x) = -(x + 1)^2 \]
So the correct equation for \( g(x) \) is:
\[ g(x) = -(x + 1)^2 \]
This matches with the response:
g(x) = −(x + 1)².
