Question

Question
Graph the function f(x)=(x+1)2
and the function of its horizontal reflection. What is the position of the point (−4,9)
in the reflected function?(1 point)
The point (−4,9)
reflects to (
) in f(−x)
.

Answer 1

Reflection across the y-axis replaces x by −x, so the x-coordinate changes sign. The point (−4, 9) reflects to (4, 9), and indeed f(−4) = (−4+1)^2 = 9 while f(−x) at x=4 gives (4−1)^2 = 9.