Question

11 What is most likely the equation of the graph below?

Answer 1

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|