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Worksheets

Four Representations of Quadratics

Total questions: 50

Worksheet time: 50mins

Name
Class
Date
1.

Where is the vertex of this quadratic function?

a)

(-2, 0)

b)

(0, 2)

c)

(-4, 2)

d)

(2,8)

2.

Where is the y-intercept of this quadratic function?

a)

(-2, 0)

b)

(0, 2)

c)

(-4, 2)

d)

(2,8)

3.

Where are the roots/zeros of this quadratic function?

a)

(-2, 0)

b)

(0, 2)

c)

(-4, 2)

d)

(2,8)

4.

Is the vertex for this function a maximum or a minimum?

a)

minimum

b)

maximum

5.

Where is the y-intercept for this function?

a)

(0, -9)

b)

(1, -4)

c)

(3, 0)

d)

(6, -9)

6.

Where is the vertex for this function?

a)

(0, -9)

b)

(1, -4)

c)

(3, 0)

d)

(6, -9)

7.

Where are the roots/zeroes for this function?

a)

(0, -9)

b)

(1, -4)

c)

(3, 0)

d)

(6, -9)

8.

Is the vertex for this function a maximum or a minimum?

a)

minimum

b)

maximum

9.

Where is the y-intercept for this function?

a)

(1, 0)

b)

(-1, 0)

c)

(0, -4)

d)

(2, 12)

10.

Where is the vertex for this function?

a)

(1, 0)

b)

(-1, 0)

c)

(0, -4)

d)

(2, 12)

11.

Where are the roots/zeroes for this function?

a)

(1, 0)

b)

(-1, 0)

c)

(0, -4)

d)

(2, 12)

12.

Is the vertex for this function a maximum or a minimum?

a)

minimum

b)

maximum

13.

Where is the vertex for this function?

a)

(-4, 4)

b)

(-1, 1)

c)

(2, 4)

d)

(-10, 28)

14.

Is the vertex for this function a maximum or a minimum?

a)

minimum

b)

maximum

15.

Where is the vertex for this function?

a)

(3, -2)

b)

(4, -4)

c)

(0, -20)

d)

(5, -10)

16.

Where is the y-intercept for this function?

a)

(3, -2)

b)

(4, -4)

c)

(0, -20)

d)

(5, -10)

17.

Is the vertex for this function a maximum or a minimum?

a)

minimum

b)

maximum

18.

Where is the y-intercept for this function?

a)

(0, 6)

b)

(-2, 0)

c)

(2, 8)

d)

(6, 0)

19.

Where is the vertex for this function?

a)

(0, 6)

b)

(-2, 0)

c)

(2, 8)

d)

(6, 0)

20.

Where are the roots/zeroes for this function?

a)

(0, 6)

b)

(-2, 0)

c)

(2, 8)

d)

(6, 0)

21.

Is the vertex for this function a maximum or a minimum?

a)

minimum

b)

maximum

22.

Where is the vertex for the function?

a)

(-1, 0)

b)

(0, -6)

c)

(1, -8)

d)

(3, 0)

23.

Where is the y-intercept for the function?

a)

(-1, 0)

b)

(0, -6)

c)

(1, -8)

d)

(3, 0)

24.

Where are the roots/zeroes for the function?

a)

(-1, 0)

b)

(0, -6)

c)

(1, -8)

d)

(3, 0)

25.

Is the vertex for this function a maximum or a minimum?

a)

minimum

b)

maximum

26.

Where is the vertex for the function?

a)

(0, 5)

b)

(-5, 0)

c)

(-2, 9)

d)

(1, 0)

27.

Where is the y-intercept for the function?

a)

(0, 5)

b)

(-5, 0)

c)

(-2, 9)

d)

(1, 0)

28.

Where are the roots/zeroes for the function?

a)

(0, 5)

b)

(-5, 0)

c)

(-2, 9)

d)

(1, 0)

29.

Is the vertex a minimum or maximum?

a)

minimum

b)

maximum

30.

Point (0, 0) in the following function is a... (select all that apply)

a)

vertex

b)

root/zero

c)

y-intercept

d)

maximum

31.

Assuming point (-5, -5) is the vertex of this function, which of the following is the correct completed table?

a)
b)
c)
d)
32.

Assuming (6, -1) is the vertex of the function, which of the following is the correctly completed table?

a)
b)
c)
d)
33.

Assuming (1, -3) is the vertex of the function, which of the following is the completed table?

a)
b)
c)
d)
34.

Which of the following tables matches the graph above?

a)
b)
c)
d)
35.

Which of the following tables matches the graph above?

a)
b)
c)
d)
36.

Which of the following tables matches the graph above?

a)
b)
c)
d)
37.

Which of the following tables matches the graph?

a)
b)
c)
d)
38.

Which of the following tables matches the graph?

a)
b)
c)
d)
39.

Consider the following equation:

f(x) = x2 - 4x + 7

Does this function have a maximum or minimum?

a)

maximum

b)

minimum

40.

Consider the following equation:

f(x) = x2 - 4x + 7

Where is the y-intercept for this function?

a)

(0, -4)

b)

(0, 7)

c)

(0, -7)

d)

(3, 0)

41.

Consider the following equation:

f(x) = -5x2 - 4x + 25

Does this function have a maximum or minimum?

a)

maximum

b)

minimum

42.

Consider the following equation:

f(x) = -5x2 - 4x + 25

Where is the y-intercept of the function?

a)

(-5, 25)

b)

(0, 25)

c)

(25, 0)

d)

(0, -4)

43.

Consider the following equation:

f(x) = x2 - 8x - 105

Does this function have a maximum or minimum?

a)

maximum

b)

minimum

44.

Consider the following equation:

f(x) = x2 - 8x - 105

Where is the y-intercept for this function?

a)

(1, -8)

b)

(-8, -105)

c)

(0, -105)

d)

(0, 105)

45.

Consider the following equation:

f(x) = x2 - 144

Does this function have a maximum or minimum?

a)

maximum

b)

minimum

46.

Consider the following equation:

f(x) = x2 - 144

Where is the y-intercept for the function?

a)

(0, -144)

b)

(-144, 0)

c)

(12, 0)

d)

(-12, 0)

47.

Consider the following equation:

f(x) = -9x2 - 256

Does this function have a maximum or minimum?

a)

maximum

b)

minimum

48.

Consider the following equation:

f(x) = -9x2 - 256

Where is the y-intercept for the function?

a)

(-9, 0)

b)

(0, -9)

c)

(-256, 0)

d)

(0, -256)

49.

Consider the following equation:

f(x) = 6x2 - 30x + 48

Does this function have a maximum or minimum?

a)

maximum

b)

minimum

50.

Consider the following equation:

f(x) = 6x2 - 30x + 48

Where is the y-intercept for the function?

a)

(-30, 0)

b)

(0, 6)

c)

(0, 48)

d)

(6, -30)