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Worksheets

Quadratic Functions

Total questions: 21

Worksheet time: 11mins

Name
Class
Date
1.

Standard form of a quadratic equation

a)

y=x²

b)

y=ax²+bx+c

c)

y=mx+b

d)

y=x

2.

The graph of a quadratic function is called a

a)

Parabola

b)

Vertex

c)

Axis of Symmetry

d)

Vertex Form

3.

What is the green dot on the parabola called?

a)

vertex

b)

line of symmetry

c)

solution

d)

function

4.

What is the axis of symmetry?

a)

the slope of the graph

b)

the dividing line for a parabola

c)

a way to spin my pencil

d)

the x-axis

5.

Does the quadratic have a max/min vertex, and does the parabola open up/down?

a)

max/ opens down

b)

min/ opens up

c)

max/ opens up

d)

min/ opens down

6.

Does this parabola have a maximum or minimum and does it open up or down?

a)

Maximum; up

b)

Minimum; down

c)

Maximum; down

d)

Minimum; up

7.

Does

y = -4x2

have a maximum or minimum value? Does it open up or down?

a)

maximum; down

b)

minimum; up

c)

minimum; down

d)

maximum; up

8.

Does

y = 4x2

have a maximum or minimum value? Does it open up or down?

a)

maximum; down

b)

minimum; up

c)

minimum; down

d)

maximum; up

9.

What is the vertex of this graph? Where is the line of symmetry located?

a)

(0, 0); x-axis

b)

(0, 0); y-axis

c)

y=x2; x-axis

d)

y=x2; y-axis

10.

The vertex of this parabola is...

a)

(-4, -12.5)

b)

(12.5, 4)

c)

(-12.5, -4)

d)

(4, 12.5)

11.

Does this parabola have a minimum or maximum and what is its value? (Hint: the value is related to the range)

a)

minimum: 2

b)

maximum: 2

c)

minimum: 5

d)

maximum: 5

12.

What is the vertex?

a)

(0, - 1)

b)

(0, 0.5)

c)

(-1, 0)

d)

(0.5, 0)

13.

What is the range of this function?

a)

All real numbers.

b)

All real numbers greater than or equal to 0.

c)

All real numbers greater than or equal to -2.

d)

All real numbers greater than or equal to 2.

14.

What is the domain of this function?

a)

All real numbers.

b)

All real numbers greater than or equal to 0.

c)

All real numbers greater than or equal to -2.

d)

All real numbers greater than or equal to 2.

15.

What is the range of this function?

a)

All Real Numbers

b)

y is greater than or equal to zero

c)

y is less than or equal to 0.5

d)

y is less than or equal to zero

16.

Which answer choice describes y = -3x2 - 2 accurately?

a)

opens down, is wider than the parent function and shifted up 2 units

b)

opens down, is wider than the parent function and shifted down 2 units

c)

opens down, is more narrow than the parent function and shifted down 2 units

d)

opens down, is more narrow than the parent function and shifted up 2 units

e)

opens up, is more narrow than the parent function and shifted down 2 units

17.

What piece of information does c identify in the following equation?

y=ax2+bx+c

a)

Zeroes

b)

Axis of Symmetry

c)

Direction

d)

y-intercept

18.

When a basketball is shot, it forms an arc (also known as a parabola). When the basketball reaches it's highest point, what is that point called?

a)

Minimum value

b)

Basketball

c)

Maximum Value

d)

A parabola

19.

A parabola is upside-down when a is:

a)

negative

b)

positive

c)

0

d)

infinite

20.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

symmetrical point for the vertex

21.

Put in order from widest narrowest?


y = 6x2 + 4 ; y = x2; y = -0.5x2; y = 0.1x2 + 3; y = -9x2

a)

y = -9x2; y = 6x2 + 4; y = x2; y = -0.5x2; y = 0.1x2 + 3

b)

y = -9x2; y = -0.5x2; y = 0.1x2 + 3; y = x2; y = 6x2 + 4

c)

y = x2; y = 0.1x2 + 3; y = -0.5x2; y = 6x2 + 4; y = -9x2;

d)

y = 0.1x2 + 3; y = -0.5x2; y = x2; y = 6x2 + 4; y = -9x2;

e)

y = 0.1x2 + 3; y = -0.5x2; y = x2; y = -9x2; y = 6x2 + 4