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Worksheets

Quadratic relations

Total questions: 40

Worksheet time: 10hrs 0mins

Name
Class
Date
1.

Which graph represents a quadratic relation?

a)
b)
c)
d)
2.

Which of the following equations represents a quadratic relation?

a)

y=3x+1y=3x+1

b)

2x+y =32x+y\ =3

c)

y=2x3y=2x^3

d)

y=2x2+1y=2x^2+1

3.
Which finite difference is constant for a quadratic equation?
a)
First
b)
Second
c)
Third
d)
No Pattern
4.
What type of function does this table represent?
a)
Linear
b)
Quadratic
c)
Cubic
d)
Exponential
5.

Which finite difference is constant for a linear relation?

a)

The second finite difference

b)

None of the finite differences

c)

The first finite difference

d)

The third finite difference

6.

If you use a difference table and find that the first differences are not constant and the second differences are not constant, this must mean......

a)

That this is a linear relation

b)

That this is a quadratic relation

c)

That this is neither a linear or a quadratic relation

d)

That you have made a mistake

7.

The function f(x) = x2 + 8x - 2

a)

Vertex form

b)

original form

c)

integer form

d)

standard form

8.

This equation is in f(x)= 3 (x+1)2 +4

a)

original form

b)

vertex form

c)

standard form

d)

quadratic form

9.

The coordinates of the vertex in this function f(x)= 3 (x+1)2 +4

a)

(1,4)

b)

(3,4)

c)

(-1,4)

d)

(3,1)

10.

The coordinates of the y-intercept in this function f(x) = x2 + 8x - 2

a)

(0,0)

b)

(2,0)

c)

(0,-2)

d)

(-2,0)

11.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
12.
What are the green dots called?
a)
axis of symmetry
b)
vertex
c)
parabola
d)
roots or x-intercepts
13.
What is the green dot on the parabola called?
a)
maximum
b)
minumum
c)
roots
d)
zeros
14.
Does this parabola have a minimum or maximum and what is its value?
a)
minimum: 2
b)
maximum: 2
c)
minimum: 5
d)
maximum: 5
15.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
16.

Identify the 'b' value: y = 16x2 -8x -24

a)

16

b)

-8

c)

8

d)

-24

17.
What is another name for the x-intercepts of a quadratic?
a)
y-intercepts
b)
zeros
c)
x-axis
d)
none of these
18.
True or false:
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.
a)
True
b)
False, because the solution and root are the same but the x-intercept and zero are different
c)
False, because the x-intercept and root are the same but the zero and solution are different
d)
False, they are all different
19.
Which point is an example of a y-intercept?
a)
(3,4)
b)
(-2,8)
c)
(0,4)
d)
(5,0)
20.
Find the y-intercept of f(x) = 2x- 2x + 1
a)
2
b)
-2
c)
1
d)
-1
21.
The axis of symmetry line passes through which point?
a)
y-intercept
b)
any random point
c)
vertex
d)
none of these
22.

Which quadratic equation models the parabola shown?

a)

y = (x-2)(x+5)

b)

y = (x+2)(x+5)

c)

y = -(x-2)(x-5)

d)

y = -(x+2)(x+5)

23.

Which quadratic equation models the parabola shown below?

a)

y = 0.25(x-2)(x+2)

b)

y = -0.25(x-2)(x+2)

c)

y = 4(x-2)(x+2)

24.

What are the x-intercepts:

(x - 3)(x + 6) = 0

a)

{ -3, -6 }

b)

{ 3, -6 }

c)

{ -3, -6 }

d)

{ 3, 6 }

25.

What are the x-intercepts:

(x - 5)(x - 1) = 0

a)

{ 5, 1 }

b)

{ 5, -1 }

c)

{ -5, 1 }

d)

{ -5, -1 }

26.

Which of the following is the Factored Form of a quadratic function?

a)

f(x) = mx + b

b)

f(x) = ax2 + bx + c

c)

f(x) = a(x - m)(x - n)

d)

f(x) = a(x - h)2 + k

27.

What are the x-intercepts of the parabola?

y = ¼(x + 2)(x - 6)

a)

(-2, 0) and (6, 0)

b)

(2, 0) and (-6, 0)

c)

(-2, 6)

d)

(¼, 0) and (-2, 0) and (6, 0)

28.

What are the x-intercepts of the parabola?

y = -3(x + 5)(x - 9)

a)

(-5, 0) and (9, 0)

b)

(5,0) and (-9, 0)

c)

(5, 0) and (9, 0)

d)

(-3, 0) and (5, 0)and (-9, 0)

29.

In f(x) = a(x - p)(x - q), what does "a" tell us?

a)

The slope

b)

If the Parabola opens up or down

c)

x coordinate of the x - intercept

d)

y coordinate of the y - intercept

30.
What equation represents the quadratic function?
a)
y = (x - 8)2
b)
y = (x + 8)2
c)
y = x2 - 8
d)
y = x2 + 8
31.
What equation represents the quadratic function?
a)
y = (x - 5)2 - 3
b)
y = (x - 5)2 + 3
c)
y = (x + 5)2 - 3
d)
y = (x - 3)2 - 5
32.
What equation represents the quadratic function?
a)
y = (x - 7)2 - 2
b)
y = (x + 7)2 + 2
c)
y = (x + 7)2 - 2
d)
y = (x + 2)2 + 7
33.
What equation represents the quadratic function?
a)
y = -(x - 5)2 
b)
y = -x2 + 5
c)
y = x2 - 5
d)
y = (x - 5)2 
34.
What equation represents the quadratic function?
a)
y = -(x - 6)2 - 3
b)
y = -(x - 6)2 + 3
c)
y = -(x + 6)2 - 3
d)
y = -(x + 6)2 + 3 
35.
What equation represents the quadratic function?
a)
y = (x - 4)2 + 1
b)
y = (x + 1)2 - 4
c)
y = (x - 4)2 - 1
d)
y = (x - 1)2 - 4 
36.

What steps transform the graph y = x2 to y = 2(x+2)2 - 5?

a)

Compress by 2, shifted 2 units left and 5 down

b)

Stretch by 5, shifted 5 units left and 2 down

c)

Stretch by 2, shifted 2 units left and 5 down

d)

Compress by 5, shifted 2 units left and 2 down

37.

What steps transform the graph y = x2 to y = x2 + 8

a)

shifted up 8 units

b)

shifted down 8 units

c)

shifted left 8 units

d)

shifted right 8 units

38.

What steps transform the graph y = x2 to y = (x-4)2

a)

Shifted down 4 units

b)

Shifted left 4 units

c)

Shifted right 4 units

d)

Shifted up 4 units

39.
Does the parabola
f(x)=4(x-2)2 + 3
open up or down?
a)
up
b)
down
40.
Identify the vertex and whether the graph opens up or down.
a)
(5, 2); opens up
b)
(5, 2); opens down
c)
(-5, 2); opens up
d)
(-5, 2); opens down