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Unit 6 Review - Quadratics

Total questions: 25

Worksheet time: 2hrs 12mins

Name
Class
Date
1.
Which function has a translation of 3 units to the left?
a)
f(x) = 3x2+1
b)
f(x) = (x + 3)2 + 1
c)
f(x) = (x - 3)2 + 1
d)
f(x) = (x + 1)2- 3
2.
Which function has a translation of 2 units right and a vertical stretch by a factor of 5?
a)
f(x)= 5(x - 2)2
b)
f(x) = 5(x + 2)2
c)
f(x) = (x - 2)2 - 5
d)
f(x) = (x + 2)2 + 5
3.
Which function has a translation of 7 units down and reflects over the x-axis?
a)
f(x) = -(x - 7)2 + 1
b)
f(x) = (x + 7)2 + 1
c)
f(x) = -(x - 1)2 - 7
d)
f(x) = (x + 1)2 - 7
4.
How is the graph of y = 2x2+ 3 different from the graph of y = 2x2?
a)
It is shifted 3 units left.
b)
It is shifted 3 units right.
c)
It is shifted 3 units down.
d)
It is shifted 3 units up.
5.
Which quadratic is the narrowest graph?
a)
y = 3x2
b)
y = 4x2
c)
y = 2x2
6.
Which quadratic graph is the widest?
a)
y = 5x2
b)
y = -¼x2
c)
y = -½x2
d)
y = 5x2
7.

Comparing the functions, which is the most narrow?

a)

f(x)=3x2

b)

g(x)= -2x2

c)

h(x)=0.5x2

d)

a(x)=12x2

8.

For a graph to be wider, the a value must be

a)

Very large number, regardless of sign

b)

Very small number, regardless of sign

c)

Negative number

d)

a=0

9.

Comparing h(x)=-5x2-1 to the parent function f(x)=x2, determine which transformation DOES NOT occur.

a)

Reflection over the x-axis

b)

Vertical stretch by a factor of 5

c)

Down 1 unit

d)

Reflected over the y-axis

10.
Which of the following is the correct equation for the given graph?
a)
f(x) = (x - 2)2 - 1
b)
f(x) = (x + 2)2 - 1
c)
f(x) = -(x + 2)2 - 1
d)
f(x) = -(x - 2)2 - 1
11.
If given the equation y = 3(x + 5)2 - 4, what is the vertex of the parabola?
a)
(5, -4)
b)
(-5, -4)
c)
(-15, -4)
d)
(15, -4)
12.
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
13.

What is the domain of the graph?

a)

x≤4

b)

x>4

c)

x>0

d)

all real numbers

14.

What is the range of the graph?

a)

all real numbers

b)

y≤-1

c)

y≥-1

d)

y≥3

15.
If the blue is f(x)=x2, the red must be
a)
g(x)=(x + 3)2
b)
g(x)=(x - 3)2
c)
g(x)=x2 + 3
d)
g(x)=x2 - 2
16.
Identify the vertex and whether the graph opens up or down.
a)
(-1, 4); opens up
b)
(-1, 4); opens down
c)
(1, 4); opens up
d)
(1, 4); opens down
17.
If the blue is f(x)=x2, then the red must be
a)
g(x)=x2-5
b)
g(x)=x2+5
c)
g(x)=(x-5)2
d)
g(x)=(x+5)2
18.
Which quadratic function is represented by the graph?
a)
y = 2(x - 4)2 + 5
b)
y = 2(x + 4)2 + 5
c)
y = -2(x - 4)2 + 5
d)
y = -2(x + 4)2 + 5
19.
An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation 
s(t) = –16t2 + 64t + 80.
What will be the object's maximum height? 
a)
2 ft
b)
80 ft
c)
144 ft
d)
64 ft
20.
How fast would you reach the water if you jump of a cliff using the formula:    h(t) = -16t2 + 8t + 24?
a)
8
b)
1
c)
1.5
d)
1/4
21.

The length of a rectangle is 4 cm more than its width. The area of the rectangle is 96 sq. cm. Find its dimensions.

a)

4 cm by 24 cm

b)

6 cm by 16 cm

c)

8 cm by 12 cm

d)

10 cm by 14 cm

22.

The function f(t) = -5t2+20t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground?

a)

4 seconds

b)

-2 seconds

c)

6 seconds

d)

9 seconds

23.
The length of a rectangle is 6 meters more than the width.  The area is 72 square meters.  Find the length and width.
a)
Length = 6, Width = 12
b)
Length = 18, Width = 4
c)
Length = 12, Width = 6
d)
Length = 4, Width = 6
24.

Find three positive consecutive odd integers such that the sum of the squares of the smallest integer and the largest integer is 129 more than the square of the median integer.

a)

7, 9, 11

b)

9, 11, 13

c)

15, 17, 19

d)

3, 5, 7

25.

Maria has a garden. The width is 10 feet and the length is 14 feet. She would like to double the current area of the garden by adding the same amount, x, to the length and width. What are the dimension of the new enclosure? Round to the nearest hundredth of a foot.

a)

Width = 14.85 ft and

Length = 18.85 ft

b)

Length = 14.85 ft and

Width = 18.85 ft

c)

Width = 15 ft and

Length = 19 ft

d)

Width = 19 ft and

Length = 15 ft

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