Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Looking for a function transformations quiz? Then this Algebra 1 quiz on Shifting, Stretching and Piecewise Functions asks 10 multiple-choice questions with instant feedback. This quiz has 10 multiple-choice questions on transformations, absolute value, piecewise and step functions. Each question has one correct option and three distractors based on typical mistakes. Read each explanation after answering.
Standards: F-BF.B.3, F-IF.C.7b · Level: Grade 9 Algebra 1
What this Shifting, Stretching and Piecewise Functions quiz checks
- f(x) + k moves the graph up k units; f(x − h) moves it right h units.
- a · f(x) stretches vertically by |a| and flips over the x-axis if a is negative.
- In y = a|x − h| + k the vertex is (h, k).
- For a piecewise function, find the interval first, then use its rule.
- A step function has horizontal pieces, with open and closed endpoints.
The 10 questions of the quiz
- The rule y = |x| is changed to y = |x| + 8. What happens to the V-shaped graph?
- How does the graph of y = f(x + 4) differ from the graph of y = f(x)?
- At which point does the V of y = |x + 5| − 2 turn?
- What does g(x) = −3f(x) do to the graph of f?
- Let f(x) = x + 2 if x < 1 and f(x) = 5 if x ≥ 1. What is f(1)?
- The V-shaped graph shown has vertex (2, −1) and passes through (0, 1).Which equation matches it?
- The step graph shows the cost of a ride.What is the cost of a 2.4-mile ride?
- Which function has the narrowest graph?
- If f(x) = |3x − 12|, what is f(−2)?
- What is the range of y = |x| + 2?
After the quiz
Missed a question? Reread the Shifting, Stretching and Piecewise Functions lesson, then take the quiz again. Next, solve the Algebra 1 worksheet on Shifting, Stretching and Piecewise Functions, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.