The function f(x)=x2+5x−6
is reflected over a given line and results in the equation f′(x)=−x2−5x+6
. Identify the equation for the line of reflection. (1 point)
The line of reflection is y
= x
To find the line of reflection, we need to find the equation for the given function f(x) and its reflection f'(x).
Given function: f(x) = x^2 + 5x - 6
Reflecting the given function over the line y = x results in the equation f'(x) = -x^2 - 5x + 6.
Since reflection over the line y = x involves swapping the x and y coordinates, the equation for the line of reflection is y = x.