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WorksheetsParabolas and features
Total questions: 28
Worksheet time: 45mins
Name
Class
Date
1.
What is the vertex of this quadratic equation?
y = 2(x - 2)2 + 5
y = 2(x - 2)2 + 5
a)
(-2,5)
b)
(2,5)
c)
(5,-2)
d)
(-5,-2)
2.
What is another word for zeros?
a)
y-intercepts
b)
roots
c)
vertex
d)
axis of symmetry
3.
Does this graph have a maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
4.
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
5.
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)
6.
What direction is the following equation opening?
y=-3x2-7x+8
y=-3x2-7x+8
a)
Up
b)
Down
c)
Left
d)
Right
7.
Find the y-intercept of
f(x) = 2x2-2x + 1
f(x) = 2x2-2x + 1
a)
2
b)
-2
c)
1
d)
-1
8.
Use the graph to determine the solutions.
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
9.
Does
y = -4x2
have a maximum or minimum value?
y = -4x2
have a maximum or minimum value?
a)
maximum
b)
minimum
10.
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
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.
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)
14.
What is the vertex of this parabola?
a)
(−1, 3)
b)
(−3, 11)
c)
(−2, 5)
d)
(0, 5)
15.
What is the y-intercept of this parabola?
a)
(−1, 3)
b)
(−3, 11)
c)
(−2, 5)
d)
(0, 5)
16.
Where is the axis of symmetry for this parabola?
a)
x = −1
b)
x = 0
c)
y = 3
d)
x = −3
17.
What do we call the graph of a quadratic function?
a)
parabola
b)
linear
c)
cubic
d)
sinusoidal
18.
What is the maximum/minimum of a parabola called?
a)
vertex
b)
point
c)
top
d)
bottom
19.
What is the vertex?
a)
(0, - 1)
b)
(0, 0.5)
c)
(-1, 0)
d)
(0.5, 0)
20.
Does the quadratic have a max/min vertex, and does the parabola open up/down?
a)
max/ opens down
b)
min/ opens up
c)
max/ opens up
d)
min/ opens down
21.
How do you know if a parabola has a minimum vertex?
a)
When a is positive there is a minimum
b)
When a is negative there is a minimum
c)
When all the numbers in the equation are negative there is a minimum
d)
When all the numbers in the equation are positive there is a minimum
22.
The axis of symmetry is a line that goes through the...
a)
y-intercept
b)
any random point
c)
vertex
d)
x-axis or y-axis
23.
Which best describes the vertex of a parabola?
a)
Any point on the parabola.
b)
A point on the x-axis.
c)
The highest or lowest point of a parabola
d)
A point on the y-axis.
24.
Which point is an example of a y-intercept?
a)
(3,4)
b)
(-2,8)
c)
(0,4)
d)
(5,0)
25.
Standard form of a quadratic equation
a)
y=x²
b)
y=ax²+bx+c
c)
y=mx+b
d)
y=x
26.
What is the green dashed line called?
a)
roots or x-intercepts
b)
parabola
c)
axis of symmetry
d)
line of dashes
27.
A parabola has a vertex at (-3,2).
Where is the axis of symmetry?
Where is the axis of symmetry?
a)
y = -2
b)
x = 3
c)
x = -3
d)
y = 2
28.
What is the y-intercept of
f(x)=(x - 10)(x + 10)
f(x)=(x - 10)(x + 10)
a)
(0, -100)
b)
(10 , 0) and (-10 , 0)
c)
(0, -10) and (0, 10)
d)
0
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