Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Looking for a function transformations quiz? Then this Algebra 2 quiz on Transformations of Functions and Their Graphs asks 10 multiple-choice questions with instant feedback.
Ten multiple-choice questions on shifts, reflections, stretches, key shapes, and even and odd functions. Remember that changes inside the function work backwards while changes outside act directly on the outputs.
Standards: F-BF.B.3, F-IF.C.7b · Level: Grade 11 Algebra 2
What this Transformations of Functions and Their Graphs quiz checks
- Outside changes act on y: f(x) + k, af(x), and −f(x).
- Inside changes act on x and work backwards: f(x − h) shifts right h.
- A key point of the parent, such as a vertex or start point, shows the move in one step.
- Square root and cube root graphs start at or are centered on the shifted key point.
- Even: f(−x) = f(x). Odd: f(−x) = −f(x).
The 10 questions of the quiz
- What does y = f(x) + 4 do to the graph of f?
- What does y = f(x − 6) do to the graph of f?
- Which equation reflects the graph of f across the y-axis?
- Where is the vertex of y = −4|x − 6| + 9?
- Which equation matches the graph?
- Which function is odd?
- Which inequality gives the domain of y = √(x − 9) + 4?
- The curve is a shifted cube root graph. Which equation fits it?
- What is the horizontal asymptote of y = 2x − 5?
- What does y = 3f(x) do to the graph of f?
After the quiz
Missed a question? Reread the Transformations of Functions and Their Graphs lesson, then take the quiz again. Next, solve the Algebra 2 worksheet on Transformations of Functions and Their Graphs, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.
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