Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Quadratic Functions Key Features

Total questions: 26

Worksheet time: 50mins

Name
Class
Date
1.

Define X-intercept

a)

The highest or lowest point on the graph

b)

Where the parabola touches or intersects the x-axis

c)

Where the parabola touches or intersects the y-axis

d)

A line that divides the graph into two equal parts. i.e. cuts the graph in half

2.

Define Y-intercept

a)

Where the parabola touches or intersects the x-axis, also called the x-intercept

b)

The lowest y-value on the graph

c)

The highest y-value on the graph

d)

Where the parabola touches or intersects the y-axis

3.

Define Maximum

a)

The highest or lowest point on the graph

b)

The highest y-value on the graph

c)

The lowest y-value on the graph

d)

A line that divides the graph into two equal parts. i.e. cuts the graph in half

4.

Define Minimum

a)

The highest y-value on the graph

b)

Where the parabola touches or intersects the y-axis

c)

Where the parabola touches or intersects the x-axis, also called the x-intercept

d)

The lowest y-value on the graph

5.

Define Vertex

a)

Where the parabola touches or intersects the x-axis

b)

The highest or lowest point on the graph

c)

Where parabola line touches or intersects the x- axis, also called the x-intercept

d)

A line that divides the graph into two equal parts. i.e. cuts the graph in half

6.

Define Axis Of Symmetry

a)

A line that divides the graph into two equal parts. i.e. cuts the graph in half

b)

Where the parabola touches or intersects the x-axis, also called the x-intercept

c)

The highest y-value on the graph

d)

The highest or lowest point on the graph

7.

Define Roots

a)

Where the parabola touches or intersects the y-axis

b)

The lowest y-value on the graph

c)

Where the parabola touches or intersects the x-axis, also called the x-intercept

d)

A line that divides the graph into two equal parts. i.e. cuts the graph in half

8.

Define Roots, Zeros, X-intercept, and Solutions

a)

Where the parabola touches or interests the x-axis

b)

Where the parabola touches or interests the y-axis

9.

What is the vertex?

a)

(-3, 0)

b)

(3, 0)

c)

(0, 18)

d)

(18, 0)

10.

What is the equation of the axis of symmetry?

a)

y = 0

b)

x = 0

c)

x = 3

d)

x = -3

11.

Which of the statements about the graph is FALSE?

a)

The vertex is a maximum

b)

There are two zeros at x = -3 and x = 3

c)

The y-intercept is (0, 18)

d)

The range is y ≥ 18

12.

What is the significance of the ordered pair (0, -2) to the graph?

a)

It is the vertex

b)

It is an x-intercept

c)

It is the y-intercept

d)

It is the axis of symmetry

13.

What is the significance of the ordered pair (2, -4) to the graph?

a)

It is the vertex

b)

It is an x-intercept

c)

It is the y-intercept

d)

It is the axis of symmetry

14.

Determine the domain and range of the function

a)

Domain: All real numbers, Range: All real numbers

b)

Domain: x ≥ -4, Range: All real numbers

c)

Domain: All real numbers, Range: y ≥ -4

d)

Domain: -1 ≤ x ≤ 5, Range: y ≥ -4

15.

What are the zeros of the function? Choose all that apply.

a)

x = 0

b)

x = -3

c)

x = -6

d)

y = 18

16.

Which statement about the graph is FALSE?

a)

The vertex is (-3, 18)

b)

The vertex is a maximum

c)

The y-intercept is y = 0

d)

The axis of symmetry is y = -3

17.

Which statement about the graph is FALSE?

a)

The vertex is also a zero of the function

b)

The y-intercept is (0, -2)

c)

The axis of symmetry is x = 2

d)

The range is y ≥ 0

18.

Which point is the vertex?

a)

(-8, 0)

b)

(-5, -9)

c)

(-2, 0)

d)

(-9, -5)

19.
The graph of a quadratic function is called a
a)
Parabola
b)
Vertex
c)
Axis of Symmetry 
d)
Vertex Form
20.

Which of the statements about the graph is FALSE?

a)

The vertex is a maximum

b)

There are two zeros at x = -3 and x = 3

c)

The y-intercept is (0, 18)

d)

The range is y ≥ 18

21.
a)
Function
b)
Not a Function
22.

Determine the key features of the given function. Pick all that apply.

 f(x)= x2+10x +16f\left(x\right)=\ x^2+10x\ +16  

a)

y-intercept is located at (0, 16)

b)

y-intercept is located at (0, 10)

c)

It is a positive function with a minimum

d)

It is a negative function with a maximum

e)

Reflects over the x-axis

23.
Is this sequence arithmetic, geometric, or neither?
{26, 22, 18, 14, ...}
a)
Arithmetic
b)
Geometric
c)
Neither
24.
Is this sequence Arithmetic, Geometric, or Neither?
{2, 9, 7, 14, 12, 19, ... }
a)
Arithmetic
b)
Geometric
c)
Neither
25.
What is the 38th term of this sequence?
{26, 22, 18, 14, ... }
a)
-4
b)
10
c)
-122
d)
174
26.
What is the common ratio of this sequence?
{2, 10, 50, 250, ... }
a)
1,250
b)
5
c)
10
d)
50