Let’s first work with transformations on the absolute value parent function.

What are the graphs of the absolute value functions y = ∣ x ∣ − 4 and y = ∣ x ∣ + 1? How are these graphs different from the parent function f (x) = ∣ x ∣ ? Make a table of values that you can use …

May 16, 2025 · In this article, we will dive deep into the vertex form of the absolute value function, examine vertical and horizontal shifts, learn how reflections and dilations affect the graph, and …

Given an absolute value function, the student will analyze the effect on the graph when f (x) is replaced by af (x), f (bx), f (x – c), and f (x) + d for specific positive and negative real values.

Dive deep into the transformations of functions, focusing on the absolute value function. Learn how shifts, stretches, and reflections impact its graph.

Describe the transformations from the graph of f (x) = |x| to the graph of g (x). Then graph both functions. Example 1 : g (x) = 2|x + 1|. Solution : Identify a, b, and c. g (x) = 2|x + 1| = 2|x – …

Transformations of absolute value functions follow these rules as well. For an absolute value, the function notation for the parent function is f (x) = IxI and the transformation is f (x) = a Ix - hI + k.