WorksheetsUnit 3 Review
Total questions: 40
Worksheet time: 2hrs 51mins
Name
Class
Date
1.
Does y = -4x2 have a maximum or minimum value?
a)
maximum
b)
minimum
2.
Which point is an example of a y-intercept?
a)
(3,4)
b)
(-2,8)
c)
(0,4)
d)
(5,0)
3.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
4.
What is the name of the coordinate labeled on the parabola?
a)
maximum
b)
minumum
c)
roots
d)
zeros
5.
Does this parabola have a maximum or minimum?
a)
Maximum
b)
Minimum
6.
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
7.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
8.
If the a value is negative, which direction does the parabola open?
a)
up
b)
down
c)
left
d)
right
9.
What is the vertex for the graph of the function? y = -2x2 + 4
a)
(2, 4)
b)
(-2, 4)
c)
(0, -4)
d)
(0, 4)
10.
Find the vertex of f(x)= -2x2-16x+3.
a)
(4, -93)
b)
(-4, 35)
c)
(-4,99)
d)
(8,3)
11.
Find the vertex of
f(x) = -x2 - 4x + 12.
f(x) = -x2 - 4x + 12.
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
12.
Find the vertex of
f(x) = -x2 - 4x + 12.
f(x) = -x2 - 4x + 12.
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
13.
What is the vertex of y=x2+4x+3?
a)
(2,1)
b)
(-2,1)
c)
(0,0)
d)
(-2,-1)
14.
What is the axis of symmetry y=4x2+8x+8?
a)
x = -1
b)
x = 1
c)
x = 2
d)
x = -2
15.
Find the axis of symmetry of f(x)= -2x2-16x+3.
a)
x= 4
b)
x=-4
c)
y= 4
d)
y=-4
16.
What is the axis of symmetry for the following equation?
y = 4x2 - 8x + 9
y = 4x2 - 8x + 9
a)
x=-8
b)
x=2
c)
x=-2
d)
x=4
17.
What's the axis of symmetry of y = 3x2 - 6x + 4
a)
x=1
b)
x=-6
c)
x=2
d)
x=-1
18.
Find the axis of symmetry for
f(x) = x2- 8x + 15.
f(x) = x2- 8x + 15.
a)
x = -4
b)
x = 4
c)
y = 4
d)
y = -4
19.
What is a, b, and c in 3x2 + 4 = 5x?
a)
a = 3, b = -5, c = 4
b)
a = 3, b = 5, c = 4
c)
a = 3, b = 5, c = -4
d)
a = 3, b = -5, c = -4
20.
Does this parabola have a maximum or minimum?
a)
Maximum
b)
Minimum
21.
Which best describes the height of the football at 2 seconds?
a)
10 feet
b)
22 feet
c)
6 feet
d)
31 feet
22.
What is the vertex of the graph and what does it mean in the context of the graph?
a)
(1.4, 31); At 1.4 seconds the football is at a maximum height of 31 ft
b)
(31, 1.4); At 1.4 seconds the football is at a maximum height of 31 ft
c)
31; The max height of the ball
d)
6 feet is the height the ball is thrown from
23.
What is the y-intercept and what does it mean in the context of the graph?
a)
(1.4, 31); At 1.4 seconds the football is at a maximum height of 31 ft
b)
6; The ball lands at 6 seconds
c)
31; The max height of the ball
d)
6; 6 feet is the height the ball is thrown from
24.
Based on the graph, what is the approximate quantity of pints of medicine produced that is expected to have the highest profit?
a)
100
b)
200
c)
400
d)
700
25.
What is the green line called?
a)
roots or x-intercepts
b)
parabola
c)
line of symmetry or axis of symmetry
d)
vertex
26.
What is the vertex of the graph?
a)
(2,4)
b)
(-2,-4)
c)
(4,2)
d)
(-4,-2)
27.
The axis of symmetry (line of symmetry) of this parabola is...
a)
y=4
b)
y=-4
c)
x=4
d)
x=-4
28.
What is the max/min of the graph?
a)
Minimum: -4
b)
Minimum: -3
c)
Maximum: -4
d)
Minimum: -3
29.
Ed hits a shot off the tee that has a height modeled by the velocity function f(t) = -16t2 + 112t. What is the equation for the axis of symmetry?
a)
y = 3.5
b)
x = 3.5
c)
y = 3
d)
x = 3
30.
Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec. This can be modeled with the function h(t) = -16t2 + 96t. When does the maximum height occur?
a)
6 seconds
b)
3 seconds
c)
145 seconds
d)
160 seconds
31.
Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec. This can be modeled with the function h(t) = -16t2 + 96t. What is the range of the function?
a)
0 ≤ y ≤ 145
b)
y ≤ 145
c)
0 ≤ x ≤ 6
d)
All Reals
32.
Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec. This can be modeled with the function h(t) = -16t2 + 96t. When does the rocket hit the ground?
a)
7 seconds
b)
6 seconds
c)
3 seconds
d)
8 seconds
33.
Ed hits a shot off the tee that has a height modeled by the function f(t) = -16t2 + 112t. How long does it take for the ball to reach its maximum height?
a)
3 seconds
b)
3.5 seconds
c)
7 seconds
d)
196 seconds
34.
Ed hits a shot off the tee that has a height modeled by the function f(t) = -16t2 + 112t. What's the maximum height of the ball?
a)
192 feet
b)
196 feet
c)
224 feet
d)
112 feet
35.
Superman kicks a ball into the air. The path can be found using the equation
d(t) = -16t2+ 48x. How long is the ball above 30 feet?
d(t) = -16t2+ 48x. How long is the ball above 30 feet?
a)
1 seconds
b)
5 seconds
c)
4 seconds
d)
6 seconds
36.
A ball is thrown vertically into the air. Its height in feet after t seconds is given by the equation h(t) = –5t2 + 20t, and is graphed above. How high will the balloon be after 3 seconds?
a)
20 ft
b)
15 ft
c)
5 ft
d)
10 ft
37.
Find the axis of symmetry of the quadratic function above.
a)
x = 2
b)
x = 0
c)
x = -1
d)
x = -2
38.
Match the possible equation to the graph.
a)
y = 2x2 - 5
b)
y = -x2 - 5
c)
y = 3x2 +5
d)
y = 5x2
39.
Find the y-intercept of
f(x) = 2x2-2x + 1. (Hint: what is the x-value for the y-intercept?)
f(x) = 2x2-2x + 1. (Hint: what is the x-value for the y-intercept?)
a)
2
b)
-2
c)
1
d)
-1
40.
What is the axis of symmetry of the quadratic function y=4x2+8x+8?
a)
x = -1
b)
x = 1
c)
x = 2
d)
x = -2
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