Free Printable Quadratics Practice

1.

What is the axis of symmetry for the following equation?

y = 4x²- 8x + 9

a)

x = -8

b)

x = 1

c)

x = -1

d)

x = 2

2.

Find the vertex of

f(x) = -x²- 4x + 12

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

3.

What is the y-intercept for the following equation?

y = 4x²- 8x + 9

a)

(0, 1)

b)

(0, 9)

c)

(0, -1)

d)

(0, 2)

4.

What is the vertex for the following equation?

y = 4x²- 8x + 9

a)

(4, -8)

b)

(0, 9)

c)

(-1, 21)

d)

(1, 5)

5.

Which formula allows you to find the x-value of the vertex from a standard form equation?

a)

$x=-\frac{b}{2a}$

b)

$x=\frac{\left(p+q\right)}{2}$

c)

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

d)

$x=h$

6.

Find the axis of symmetry for the following equation.

y=-x^2-10x+7

x = (a)

7.

The axis of symmetry for a vertical parabola always matches...

a)

the y-intercept

b)

the y-value of the vertex

c)

the x-value of the vertex

d)

the x-intercepts

8.

Find the vertex, AOS, and y-intercept for the following equation.

y=-4x^2+20x-22

Choose all below that apply.

a)

Vertex: $\left(\frac{5}{2},\ 3\right)$

b)

Vertex: $\left(-\frac{5}{2},\ -97\right)$

c)

AOS: $x\ =\ \frac{5}{2}$

d)

AOS: $x\ =\ -\frac{5}{2}$

e)

y-intercept: $\left(0,\ 3\right)$

9.

Which equation matches the graph?

a)

$y=2x^2+8x-5$

b)

$y=2x^2-8x-5$

c)

$y=-2x^2+8x-5$

d)

$y=2x^2+8x+5$

10.

Which graph matches the equation below?

y=3x^2-6x-2

a)

b)

c)

d)

11.

Find the y-value of the vertex for the equation below.

y=-\frac{1}{2}\left(x+5\right)\left(x-1\right)

Only enter the number (no variables).

(a)

12.

Find the x-intercepts for the equation below.

y=-\frac{1}{2}\left(x+5\right)\left(x-1\right)

Choose all correct answers below.

a)

(-5, 0)

b)

(1, 0)

c)

(5, 0)

d)

(-1, 0)

e)

(-5, 1)

13.

Find the a, h, and k values for the graph.

a)

a = -2; h = -3; k = 4

b)

a = -2; h = 3; k = 4

c)

a = -2; h = 4; k = -3

d)

a = -2; h = 4; k = 3

14.

What is the vertex of the equation?

x=-\frac{1}{2}\left(y+3\right)^2-1

a)

(-1, 3)

b)

(-1, -3)

c)

(3, -1)

d)

(-3, -1)

15.

How does the x-value of the vertex of a parabola relate to the x-intercepts?

a)

The x-value of the vertex is halfway between the x-intercepts.

b)

You can choose the x-value of the vertex and the x-intercepts.

c)

The x-value of the vertex is always closer to the smaller x-intercept.

d)

There is not a relationship between the x-value of the vertex and the x-intercepts.

e)

The x-value of the vertex is always closer to the larger x-intercept.

Quadratics Practice - Standard Form

Total questions: 15

Worksheet time: 19mins

Similar Resources on Wayground