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WorksheetsGraphing Quadratic Functions 2
Total questions: 30
Worksheet time: 1hrs 24mins
Name
Class
Date
1.
Does this graph have a maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
2.
What is the axis of symmetry for the following equation?
y=4x2-8x+9
y=4x2-8x+9
a)
x=-8
b)
x=1
c)
x=-1
d)
x=2
3.
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)
4.
What direction is the following equation opening?
y=-3x2-7x+8
y=-3x2-7x+8
a)
Up
b)
Down
c)
Left
d)
Right
5.
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
6.
Find the y-intercept of
f(x) = 2x2-2x + 1
f(x) = 2x2-2x + 1
a)
2
b)
-2
c)
1
d)
-1
7.
Use the graph to determine the solutions.
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
8.
Does
y = -4x2
have a maximum or minimum value?
y = -4x2
have a maximum or minimum value?
a)
maximum
b)
minimum
9.
When a basketball is shot, it forms an arc (also known as a parabola). When the basketball reaches it's highest point, what is that point called?
a)
Minimum value
b)
Slope
c)
Maximum value
d)
A parabola
10.
Quadratic equations take the shape of a _______ when graphed.
a)
U
b)
straight line
c)
wavey line/snaked
d)
circle/elliptical
11.
Does this graph in the back have maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
12.
What are the x-intercepts?
a)
0 and 2
b)
-4 and 0
c)
2 and 3
d)
0 and 4
13.
Joe Mauer hits a fly ball. You can track the height of the ball using the equation: h(t) = -16t2 + 140t + 2
What was the starting
height of the ball?
What was the starting
height of the ball?
a)
-16 feet
b)
140 feet
c)
2 feet
d)
0 feet
14.
What is the axis of symmetry for the following equation?
y=4x2-8x+9
y=4x2-8x+9
a)
x=-8
b)
x=1
c)
x=-1
d)
x=2
15.
What is the y intercept for the equation:
y = -8x2 + 3x - 7
y = -8x2 + 3x - 7
a)
(0, -8)
b)
(0, 3)
c)
(-8, -7)
d)
(0, -7)
16.
If the graph of a quadratic does not intercept the x-axis at any point, then it has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
No Real Solution
17.
Factor
n2 + 5n - 6
n2 + 5n - 6
a)
(n - 2)(n - 3)
b)
(n - 1)(n + 6)
c)
(n + 1)(n - 6)
d)
(n + 2)(n - 3)
18.
Factor:
x2 - 9
x2 - 9
a)
(x + 3)(x - 3)
b)
(x + 3)2
c)
(x - 3)2
d)
(x+3)(x+3)
19.
Factor completely: 3x² - 7x + 2
a)
(x - 1) (3x + 2)
b)
(x - 2) (3x -1)
c)
(x - 1) (3x - 2)
d)
(x + 2) (3x + 1)
20.
Factor Completely: 6x² + 7x - 3
a)
(2x + 3)(3x-1)
b)
(2x - 3)(3x + 1)
c)
(2x + 3)(6x - 2)
d)
(3x - 3)(2x + 1)
21.
Which of the following represents the solutions to the equation:
3x2 + 4x – 20 = 0?
3x2 + 4x – 20 = 0?
a)
0 and -20
b)
3.33 and -2
c)
-3.33 and 2
d)
-0.67 and -21.33
22.
What is the vertex of x2+8x+12?
a)
(4, 4)
b)
(-4, 4)
c)
(4, -4)
d)
(-4, -4)
23.
What is the vertex of x2+10x+24?
a)
(-5,-1)
b)
(5,1)
c)
(6, 4)
d)
(-6,-4)
24.
Find the zeros of this quadratic.
a)
b=4/5, b=3
b)
b=4, b=-3
c)
b=1/5, b=3
d)
b=4/5, b=-3
25.
A firework takes a path that is reflected by the quadratic
y = -4.9x2 + 25x + 0.5, where y is the height, in metres, of the firework and x is the number of seconds the firework is in the air. What is the maximum height of the firework?
a)
2.6 metres
b)
25 metres
c)
32.4 metres
d)
36.6 metres
26.
A firework takes a path that is reflected by the quadratic
y = -4.9x2 + 25x + 0.5, where y is the height, in metres, of the firework and x is the number of seconds the firework is in the air. It didn't burst and landed on the ground. How long was the firework in the air?
a)
4.9 seconds
b)
5.1 seconds
c)
7.7 seconds
d)
25 seconds
27.
Determine if the function graphed has a maximum or a minimum value and identify that value.
a)
maximum at -1
b)
minimum at -1
c)
maximum at 4
d)
minimum at 4
28.
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
29.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
30.
What are the green dots called?
a)
axis of symmetry
b)
vertex
c)
parabola
d)
roots or x-intercepts
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