Answer:
f(x) = |x + 2|
General Formulas and Concepts:
Transformations Graph: f(x) = a|bx - c|+ d
- a = vertical shrink/stretch
- b = horizontal shrink/stretch
- c = horizontal movement left/right
- d = vertical movement up/down
Explanation:
Step 1: Define
We see a transformation from a parent function of the absolute value.
Parent Graph: f(x) = |x|
Step 2: Find equation of graph
We see the transformation moving horizontally 2 units to the left.
c = -2
f(x) = |x + 2|