Question

What is the change that occurs to the parent function f(x) = x2 given the function f(x) = (x + 1)2 - 5.
A. The graph moves 1 unit to the left and 5 units up.
B. The graph moves 1 unit to the left and 5 units down.
C. The graph moves 1 unit to the right and 5 units down.
D. The graph moves 1 unit to the right and 5 units up.

Answer 1

x --> x +1
so the graph shifts one unit backward i.e left

-5 shifts the graph downward by 5 units