Worksheets6.1 Understanding Quadratic Functions
Total questions: 24
Worksheet time: 2hrs 33mins
Name
Class
Date
1.
What is the vertex of this quadratic equation?
y = 2(x + 2)2 + 5
a)
(-2,5)
b)
(2,5)
c)
(5,-2)
d)
(-5,-2)
2.
What is the vertex of this parabola?
a)
(−1, 3)
b)
(−3, 11)
c)
(−2, 5)
d)
(0, 5)
3.
What is the y-intercept of this parabola?
a)
(−1, 3)
b)
(−3, 11)
c)
(−2, 5)
d)
(0, 5)
4.
Where is the axis of symmetry for this parabola?
a)
x = −1
b)
x = 0
c)
y = 3
d)
x = −3
5.
What do we call the graph of a quadratic function?
a)
parabola
b)
linear
c)
cubic
d)
sinusoidal
6.
What is the maximum/minimum of a parabola called?
a)
vertex
b)
point
c)
top
d)
bottom
7.
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
8.
What is the green dashed line called?
a)
roots or x-intercepts
b)
parabola
c)
axis of symmetry
d)
line of dashes
9.
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
10.
Which equation would give the graph of a parabola?
a)
y = 2x - 3
b)
y = x2 + 1
c)
y = x2 + 4
11.
How can you tell whether a parabola is facing up or facing down by looking at the equation?
a)
The vertex tells you the direction of the opening
b)
The value of "a" tells you the direction of the opening.
c)
All parabolas open upward
d)
All parabolas open downward
12.
Compare the function y = 0.3x2 to the parent function y = x2
a)
Wider
b)
Narrower
13.
Compare the function y = 5x2 to the parent function y = x2
a)
Wider
b)
Narrower
14.
Match the equation to its description.
a)
Reflected over x and stretched by 3
b)
Stretched by 3
c)
Reflected over x
d)
Reflected over x and up 3
15.
If red represents y = x2, which equation represents black?
a)
y = 7x2
b)
y = -7x2
c)
y = -(1/7)x2
d)
y = -5x2
16.
Select the false statement about the parabola
a)
The vertex is at (-2,-3)
b)
The minimum is -3
c)
The maximum is -3
d)
The y-intercept is -7
17.
A parabola is upside-down when a is:
a)
negative
b)
positive
c)
0
d)
infinite
18.
a)
F
b)
G
c)
H
d)
J
19.
Use the given function or the graph to find the average rate of change
a)
5
b)
-1/5
c)
-5
d)
15
20.
Which of the following graphs has the largest average rate of change from -1 to 2?
a)
b)
c)
d)
21.
Find the average rate of change of Pete's height from 3 years old to 5 years old.
a)
2 inches per year
b)
8 inches per year
c)
2 years
d)
4 inches per year
22.
What is the domain of the graph?
a)
-3 ≤ x ≤ 3
b)
3 ≤ x ≤ -3
c)
-2 ≤ x ≤ 10
d)
-3 ≤ x ≤ 10
23.
What is the range of this functions?
a)
{y| -6 ≤ y ≤ 3}
b)
{y| -6 < y < 3}
c)
{y|y = all real numbers}
d)
{y| -2 ≤ y ≤ 4}
24.
What is the end behavior as x→−∞ ?
a)
f(x)→−2
b)
f(x)→−∞
c)
f(x)→0
d)
f(x)→∞
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