Algebra 1 Quadratic Functions Quiz – Free PDF

Contents

This algebra 1 quadratic functions quiz asks 10 multiple-choice questions on graphing quadratic functions, and each answer comes with a short explanation.

Try these ten multiple-choice questions on parabolas: axis of symmetry, vertex, zeros, intercepts, completing the square and real-world maximums. Each question has exactly one correct answer, and the explanation shows the common mistake.

Algebra 1Common Core: F-IF.C.7a · F-IF.C.8a · F-IF.B.4 · A-SSE.B.3b

🎯 Graphing Quadratic Functions – Algebra 1 math quiz

Score: 0 / 10

Answered: 0 / 10

Question 1

What is the axis of symmetry of \(y=x^{2}-10x+7\)?

A \(x=-5\)

B \(x=10\)

C \(x=7\)

D \(x=5\)

Question 2

What is the vertex of the parabola shown?

Graph for the question.

A \((-3, 2)\)

B \((3, 2)\)

C \((3, -2)\)

D \((-2, 3)\)

Question 3

What is the vertex of \(y=2(x+4)^{2}-7\)?

A \((4, -7)\)

B \((-4, -7)\)

C \((-4, 7)\)

D \((4, 7)\)

Question 4

What are the zeros of \(y=(x-6)(x+2)\)?

A \(x=-6\text{ and }x=2\)

B \(x=6\text{ and }x=2\)

C \(x=6\text{ and }x=-2\)

D \(x=-6\text{ and }x=-2\)

Question 5

What is the y-intercept of \(y=(x-3)(x+4)\)?

A \((0, -12)\)

B \((0, 12)\)

C \((0, -1)\)

D \((0, 4)\)

Question 6

Which equation matches the graph?

Graph for the question.

A \(y=(x-1)^{2}+4\)

B \(y=-(x-1)^{2}+4\)

C \(y=-(x+1)^{2}+4\)

D \(y=-(x-1)^{2}-4\)

Question 7

Complete the square: \(x^{2}+12x+5\) equals

A \((x+6)^{2}-31\)

B \((x+6)^{2}+41\)

C \((x+6)^{2}+5\)

D \((x+12)^{2}-139\)

Question 8

What is the minimum value of \(f(x)=x^{2}-8x+19\)?

A \(4\)

B \(19\)

C \(-3\)

D \(3\)

Question 9

The graph shows the height in feet of a ball after \(t\) seconds. When does the ball return to the ground?

Graph for the question.

A \(t=4\text{ s}\)

B \(t=2\text{ s}\)

C \(t=8\text{ s}\)

D \(t=64\text{ s}\)

Question 10

A rectangular pen has a perimeter of 60 feet. What is the largest area it can have?

A \(450\text{ ft}^{2}\)

B \(900\text{ ft}^{2}\)

C \(200\text{ ft}^{2}\)

D \(225\text{ ft}^{2}\)

🎉 Quiz complete!

0 / 10

How does this quiz work?

Read each question, choose one answer among A, B, C and D, then check it: a short explanation appears after every answer. Your score out of 10 is shown at the end, and you can restart the quiz as often as you like.

What should you review before the quiz?

Reread the key facts of the lesson and the worked example. If a question is hard, go back to the matching part of the lesson, then try the quiz again. Write your work on scrap paper: most mistakes come from skipping a step, not from the idea itself.

Remember:

Standards F-IF.C.7a, F-IF.C.8a, F-IF.B.4 and A-SSE.B.3b: graph quadratics, rewrite them, and interpret key features.
The axis of symmetry is \(x=-\frac{b}{2a}\), and the vertex lies on it.
Vertex form \(a(x-h)^{2}+k\) shows the vertex; factored form \(a(x-p)(x-q)\) shows the zeros.
If \(a > 0\) the vertex is a minimum; if \(a < 0\) it is a maximum.
In a projectile model, the vertex gives the maximum height and the positive zero gives the landing time.