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Quadratic Functions Quiz – Algebra 1 (10 Questions)

Last updated: October 22, 2026 · Written by the Math Made Easy math teachers

Algebra 1 Math Quizzes – Mathbot, the Math Made Easy robot coach, with free printable quizzes for Algebra 1

Looking for a quadratic functions quiz? Then this Algebra 1 quiz on Graphing Parabolas and Key Features asks 10 multiple-choice questions with instant feedback. This quiz has 10 multiple-choice questions on parabolas. Each question has one correct option and three distractors built from common sign and formula mistakes. Read each explanation after answering.

Standards: F-IF.C.7a, F-IF.C.8a, F-IF.B.4, A-SSE.B.3b · Level: Grade 9 Algebra 1

Mathbot, the Math Made Easy robot coach

What this Graphing Parabolas and Key Features quiz checks

  • The parabola opens up if a > 0 and down if a < 0.
  • Axis of symmetry in standard form: x = −b2a.
  • Vertex form y = a(x − h)² + k has vertex (h, k).
  • Factored form y = a(x − p)(x − q) has zeros p and q.
  • Completing the square turns standard form into vertex form.

The 10 questions of the quiz

  1. Which point is the turning point of y = (x + 6)² − 8?
  2. Which vertical line is the mirror line of the parabola y = x² + 14x + 2?
  3. What does y = −2x² + 8x + 1 have at its vertex?
  4. Complete the square: x² + 8x + 3 = ?
  5. Where does y = (x + 9)(x − 4) cross the x-axis?
  6. This parabola turns at (−3, −4) and crosses the x-axis at −5 and −1.Which equation matches the graph?
  7. The curve passes through (0, 2), (1, 5), (2, 6), (3, 5) and (4, 2).Which set describes every possible y-value?
  8. Which parabola is the narrowest?
  9. A ball has height h = −16t² + 64t feet after t seconds. What is its greatest height?
  10. Where does y = 3(x + 2)² − 7 meet the y-axis?

After the quiz

Missed a question? Reread the Graphing Parabolas and Key Features lesson, then take the quiz again. Next, solve the Algebra 1 worksheet on Graphing Parabolas and Key Features, 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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