Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

What effect does replacing x with x + 6 have on the graph for the function f(x) ?

f(x) = |x + 3| - 2

Answer 1

Answer: (C) shifts 6 units to the LEFT

Explanation:

The vertex form of an absolute value equation is:

y = a |x - h| + k where;

• a is the vertical stretch (irrelevant for this problem)
• (h, k) is the vertex

Since h represents the x-coordinate and the x-axis is left to right, then h shifts the graph left or right.

• If h is negative, the graph shifts to the left.
• If h is positive, the graph shifts to the right.

x + 6 is actually x - (-6), so h is negative and the graph shifts to the left.