WorksheetsMath 2 Test 3
Total questions: 25
Worksheet time: 6hrs 15mins
Name
Class
Date
1.
Which parent function matches the graph?
a)
y = |x|
b)
y = x
c)
y = x2
d)
y = 2x
2.
What type of function is shown?
a)
absolute value
b)
quadratic
c)
linear
d)
exponential
3.
Which equation below is a quadratic function translated up 5 units?
a)
y = x2 + 5
b)
y = (x + 5)2
c)
y = 5x2
d)
y = -x2 - 5
4.
Which equation below is a quadratic function translated left 4 units?
a)
y = x2 + 4
b)
y = (x + 4)2
c)
y = (x - 4)2
d)
y = 4x2
5.
Describe the transformation
a)
left 2 up 5
b)
right 2 up 5
c)
left 2 down 5
d)
right 2 down 5
6.
Describe the transformation that is applied to the parent function.
f(x) = 3 Ix+8I
f(x) = 3 Ix+8I
a)
Stretches by 3, Shifts left 8
b)
Stretches by 3, Shifts right 8
c)
Stretches by 3, Shifts up 8
d)
Stretches by 3, Shifts down 8
7.
What is the range to this graph?
a)
y> 1
b)
y>= 1
c)
y< 1
d)
y<= 1
8.
Which of the following is the correct equation for the given graph?
a)
f(x) = -(x + 2)2 - 4
b)
f(x) = -(x - 2)2 - 4
c)
f(x) = -3(x - 2)2 - 4
d)
f(x) = -3(x + 2)2 - 4
9.
Write an absolute value function given the following transformations:
Reflection across the x-axis
shift right 2 units
shift down 7 units
a)
y = -|x + 2| - 7
b)
y = |x - 2| - 7
c)
y = -|x - 2| - 7
d)
y = -|x - 2| + 7
10.
What transformations has the function undergone?
a)
reflect over y, vertical compress by 2, right 5, up 1
b)
reflect over x, horizontal compression by 2, left 5, up 1
c)
reflect over x, vertical stretch by 2, right 5, up 1
d)
reflect over y, horizontal stretch by -2, right 5, up 1
11.
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
12.
What is the domain of this graph?
a)
x≥0 ( [0, ∞) )
b)
x<0
c)
All real numbers ( (−∞, ∞) )
d)
None of the above
13.
What is the range of this graph?
a)
y≥0 ( [0, ∞) ) (nonnegative numbers)
b)
All real numbers (−∞, ∞)
c)
All negative numbers ( y<0 ) ( (−∞, 0)
d)
None of the above
14.
Which of the following parent functions have a range of [0,∞) ? Select all that apply.
a)
b)
c)
d)
15.
Describe the end behavior of the graph.
a)
x → -∞, f(x) → ∞ and x→∞, f(x) →⁻∞
b)
x → -∞, f(x) → ∞ and x→∞, f(x) →∞
c)
x → -∞, f(x) → ∞ and x→∞, f(x) → 0
d)
x → -∞,f(x) → -∞and x→ ∞, f(x) → ∞
16.
Describe the end behavior of the graph.
a)
x → ∞, y→ ∞ and
x→ ∞, y→⁻∞
x→ ∞, y→⁻∞
b)
x → ∞, y→ ∞ and
x→⁻∞, y→∞
x→⁻∞, y→∞
c)
None of these
d)
x →∞,y→⁻∞ and
x→∞, y→⁻∞
x→∞, y→⁻∞
17.
Describe the end behavior of the graph.
a)
x →∞, y→⁻∞ and x →⁻∞,y→⁻∞
b)
x →∞, y→∞ and x→⁻∞, y→∞
c)
x →∞, y→∞ and x→⁻∞, y→0
d)
x →∞,y→∞ and x→⁻∞, y→⁻∞
18.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
19.
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
20.
What is the vertex?
a)
(4,-4)
b)
(2,0)
c)
(0,2)
d)
(6,0)
21.
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
22.
What is the range of the function in this graph?
a)
(-infinity, 3]
b)
[3, infinity)
c)
(-inifnity, 0]
d)
[0 infinity)
23.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
24.
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
25.
Is this a max or min?
a)
max
b)
min
c)
cannot be determined
100 %
