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Worksheets

Graphing Quadratics

Total questions: 34

Worksheet time: 2hrs 58mins

Name
Class
Date
1.

Is this a max or min?

a)

max

b)

min

c)

cannot be determined

2.

Does

y = -4x2

have a maximum or minimum value at the vertex?

a)

maximum

b)

minimum

3.

Which form is the equation

y = -3(x-5)2+7 in?

a)

Standard

b)

Vertex

c)

Factored (Root)

d)

None of These

4.

What is the vertex of the quadratic function: y=1/2(x-3)2+8?

a)

(3,8)

b)

(-3,-8)

c)

(-3,8)

d)

(3,-8)

5.

If given the equation

y = 3(x + 5)2, what is the vertex of the parabola?

a)

(5, 0)

b)

(-5, 0)

c)

(0, -5)

d)

(0, 3)

6.

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.

7.
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
8.
What is the equation for the axis of symmetry of 
f(x)= (x +1)2 + 5
a)
x = 1
b)
x = -1
c)
x = -5
d)
x = 5
9.

What is the domain of the function y=-3(x+5)2-1

a)

x is less than or equal to -5

b)

y is less than or equal to -5

c)

y is greater than or equal to -1

d)

All Real Numbers

10.

What is true of the function y=3(x+6)2-4?

a)

It is a vertical compression of the parent function by 3 and shifted to the right by 6 and down by 4.

b)

It is a vertical compression of the parent function by 3 and shifted to the left by 6 and down by 4.

c)

It is a vertical stretch of the parent function by 3 and shifted to the left by 6 and down by 4.

d)

It is a vertical stretch of the parent function by 3 and shifted to the right by 6 and down by 4.

11.

What is NOT true of the function y=-1/2(x-2)2+4?

a)

It is a reflection of the parent function across the y-axis.

b)

It is a vertical compression of the parent function by 1/2.

c)

It is a horizontal shift to the right by 2 of the parent function.

d)

It is a vertical shift up by 4 if the parent function.

12.

Which of the following graphs is the graph of y= -1/2(x-1)2+3?

a)

A

b)

B

c)

C

d)

D

13.

Given the graph, the value of k in the equation y=a(x-h)2+k is

a)

5

b)

-5

c)

1

d)

-1

14.

Given the graph, the value of a in the equation y=a(x-h)2+k is

a)

positive

b)

negative

15.

Given the graph, the value of a in the equation y=a(x-h)2+k is

a)

1

b)

2

c)

1/2

d)

-1

16.

Given the graph, the value of h in the equation y=a(x-h)2+k is

a)

-1

b)

-2

c)

1

d)

2

17.

What is the equation of the quadratic function represented by the graph?

a)

y= 1/2(x+4)2+3

b)

y= 1/2(x-4)2+3

c)

y= 2(x+4)2+3

d)

y= 2(x-4)2+3

18.

The table represents which equation?

a)

y=-2(x-5)2+3

b)

y=-1/2(x-3)2+5

c)

y=1/2(x-5)2+3

d)

y=2(x-5)2+3

19.
Use the graph to determine the solutions.
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
20.
What's the axis of symmetry of y=3x2-6x+4
a)
x=1
b)
x=-6
c)
x=2
d)
x=-1
21.
Does the equation open or or down? 
Y = -3x2 +7x - 2
a)
up
b)
down
22.
The solutions of a quadratic equation are known as the _____.
a)
Vertices
b)
Roots
c)
Squares
d)
Formulas
23.
What is the y-intercept of 
f(x)=2x2 + 4x + 6
a)
(6 , 0)
b)
(-6 , 0)
c)
(0, -6)
d)
(0 , 6)
24.
.How many zeros does this parabola have? 
a)
3
b)
2
c)
0
d)
1
25.
What are the roots of the function
f(x)= (x - 2)(x + 3)?
a)
x = - 2 or x = 3
b)
x = 2 or x = -3
c)
The are no real roots
d)
x = 2 or x = 3
26.
Find the vertex of 
f(x) = -x- 4x + 12
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
27.
What form is the equation in?
y = 2x2-8x+7
a)
Standard
b)
Vertex
c)
Factored
d)
None of These
28.
Quadratic equations take the shape of a _______ when graphed.
a)
U
b)
straight line
c)
wavey line/snaked
d)
circle/elliptical
29.
What are the x-intercepts?
a)
0 and 2
b)
-4 and 0
c)
2 and 3
d)
0 and 4
30.
Identify the x-intercepts:
y= -3(x-5)(x+5)
a)
(-5,0)(5,0)
b)
(5,0)(-5,0)
c)
(5,0)(0,5)
d)
(0,5)(0,-5)
31.

What is the equation written in vertex form of y=x2+10x+16?

a)

y= (x+10)2 +16

b)

y=(x+5)2 -9

c)

y= 2(x+10)2 +8

d)

y= (x+5)2 +16

32.

Write the following in Root Form.

y=2x2 - 8x -10

a)

y= 2(x-5)(x+1)

b)

y=(2x-10)(x+1)

c)

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

d)

y=2(x-10)(x+1)

33.

Write the following in standard form.


y=-(x+1)2+3

a)

y=-x2+2

b)

y=x2+4

c)

y= -x2+2x+4

d)

y= -x2-2x+2

34.

Write the following in standard form.


y=3(x-2)(x+1)

a)

y= x2-x-2

b)

y= x2+x-2

c)

y= 3x2-3x-6

d)

y= 3x2+3x-6