Free Printable Attributes of a Quadratic Function

Worksheets

Attributes of a Quadratic Function

Total questions: 25

Worksheet time: 27mins

Name

Class

Date

What is the arrow pointing at? How can you use this value to determine the minimum/maximum values?

The arrow is pointing at the y-intercept. The y value of this point is equivalent to the maximum/minimum

The arrow is pointing at the vertex. The x value of this point is equivalent to the maximum/minimum

The arrow is pointing at the solution. The y value of this point is equivalent to the maximum/ minimum

The arrow is pointing at the vertex. The y value is equivalent to the minimum/maximum

True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing.

True

False, because the solution and root are the same but the x-intercept and zero are different

False, because the x-intercept and root are the same but the zero and solution are different

False, they are all different

Use the graph of the function

f(x) = -2x²+ 4x + 6 to find the solution(s).

x=-1

x=3

x = -1

and

x = 3

x = 1

and

x = 8

Does this graph have a maximum or minimum value?

maximum

minimum

neither

both

What is the axis of symmetry of
y = 3x²- 6x + 4?

x=1

x=-6

x=2

x=-1

Which of the following is always located on the axis of symmetry?

vertex

y-intercept

slope

x-intercept

Find the axis of symmetry of
f(x)= -2x²- 16x + 3.

x= 4

x=-4

y= 4

y=-4

Does the graph of y = 3x² - 2 have a minimum or a maximum?

Minimum

Maximum

Neither

Both a minimum and a maximum

What are the
x-intercepts?

x = 0 and x = -4

x = 0 and x = 4

y = 0

x = 2

10.

Which of the following is the correct equation for the line of symmetry of the given graph?

x = -2

x = 2

y = -2

y = 2

11.

Find the vertex of the quadratic:
y = -2x² + 4x + 3

(0, 3)

(-1, 5)

(1, 5)

(1, -5)

12.

Does the equation
y = -3x² + 7x - 2 open up or down?

down

13.

How many roots does this parabola have?

14.

The axis of symmetry of this parabola is...

y = 4

y = -4

x = 4

x = -4

15.

What is the y-intercept of the equation y = 5x² + 2?

(2, 0)

(0, 2)

(5, 0)

(0, 5)

16.

Given the equation y = 3(x + 5)² - 4,

what is the vertex of the parabola?

(5, -4)

(-5, -4)

(-15, -4)

(15, -4)

17.

Which of the following is a transformation of the graph y = (x - 5)² ?

Shifts right 5.

Shifts left 5.

Shifts up 5.

Shifts down 5.

18.

Which of the following is a transformation of the graph y = 3x².

Shifts up 3.

Shifts left 3.

Vertical stretch by a factor of 3.

Shifts right 3.

19.

y = -(x + 1)² - 4

y = -(x + 1)² + 4

y = -(x - 1)² - 4

y = (x + 1)² + 4

20.

What is the domain of the function y = x² + 3?

All Real Numbers

x>3

x<3

It is impossible to determine.

21.

Find the y-intercept of the function

y = -3(x + 2)² - 5

(0, -5)

(-2, -5)

(0, -17)

(2, -5)

22.

$f\left(x\right)=-\left(x-4\right)^2+1$

Choose the correct graph of the equation.

23.

Explain the translation:

Which of the following is NOT true?

$f\left(x\right)=-\frac{1}{2}\left(x-5\right)^2+6$

reflected across the x-axis

vertical compression

translated 5 units left

translated 6 units up

24.

Explain the translation:

y = (x + 9)² + 5

translated left 9, up 5

translated left 9, down 5

translated right 9, up 5

translated right 9, down 5

25.

What is the range of this quadratic?

y ≥ 3

y ≤ 3

ℝ

y ≤ 2

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Attributes of a Quadratic Function

Total questions: 25

Worksheet time: 27mins

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