WorksheetsGraph Transformations
Total questions: 54
Worksheet time: 1hrs 4mins
Name
Class
Date
1.
What type of function is shown?
a)
cube root
b)
square root
c)
logarithm
d)
exponential
2.
Which parent function matches the graph?
a)
y = |x|
b)
y = x
c)
y = x2
d)
y = 2x
3.
What type of function is shown?
a)
absolute value
b)
quadratic
c)
linear
d)
exponential
4.
What type of function is shown?
a)
linear
b)
quadratic
c)
square root
d)
absolute value
5.
What type of function is shown?
a)
quadratic
b)
cube root
c)
absolute value
d)
square root
6.
Which parent function matches the graph?
a)
f(x) = x
b)
f(x)= x2
c)
f(x) = |x|
d)
f(x) = bx, b = 2
7.
What type of function is shown?
a)
exponential
b)
logarithm
c)
quadratic
d)
square root
8.
Name the parent function.
a)
constant
b)
quadratic
c)
linear
d)
exponential
9.
Name the parent function.
a)
linear
b)
quadratic
c)
cube root
d)
cubic
10.
What is the equation of the PARENT function?
a)
f(x) = 2x
b)
f(x) = x3
c)
f(x) = |x|
d)
f(x) = x
11.
Name the parent function.
a)
constant
b)
square root
c)
linear
d)
absolute value
12.
Name the parent function.
a)
cubic
b)
cube root
c)
exponential
d)
quadratic
13.
Name the parent function.
a)
cube root
b)
square root
c)
quadratic
d)
linear
14.
Name the parent function.
a)
quadratic
b)
cubic
c)
square root
d)
logarithmic
15.
Is the relation a function?
a)
Function, because each x is paired with only one y value.
b)
Not a Function, because some x values repeat with different y values.
16.
Is the graph a function?
a)
Function, because it passes the vertical line test.
b)
Not a Function, because some verticals lines intersect the graph more than once.
17.
Is the relation a function?
a)
Function, because each x value has only one y value.
b)
Not a Function because of (-2, 3) and (-2, 3.5)
18.
Is the graph a function?
a)
Function because every vertical line intersects the graph at most one time.
b)
Not a Function because it fails the vertical line test.
19.
State the DOMAIN in interval notation.
a)
(-∞,∞)
b)
[0,∞)
c)
(-∞,0]
d)
[-∞,∞]
20.
State the RANGE using interval notation.
a)
(-∞,∞)
b)
[0,∞)
c)
(-∞,0]
d)
[-∞,∞]
21.
Domain is:
a)
All x values, from left to right.
b)
All y values, from bottom to top.
c)
All x values from bottom to top.
d)
All y values from left to right.
22.
Range is:
a)
All x values, from left to right.
b)
All y values, from left to right.
c)
All y values, from bottom to top.
d)
All x values, from bottom to top.
23.
What is the range of the following graph? Use interval notation.
a)
(-∞,∞)
b)
[-∞,∞]
c)
(0,∞)
d)
(-∞,0)
24.
What is the domain of the square root function? Use interval notation.
a)
(∞, 0]
b)
[0,∞)
c)
(0,∞)
d)
(-∞,∞)
25.
What is the range of the square root function? Use interval notation.
a)
[0,∞]
b)
[0,∞)
c)
(0,∞)
d)
(-∞,∞)
26.
Which parent function is this?
a)
Exponential
b)
Logarithmic
c)
Quadratic
d)
Reciprocal
27.
What is the definition of an ASYMPTOTE?
a)
A curved line.
b)
A line that only touches the origin.
c)
A line that only lives on the first quadrant.
d)
A line that a curve approaches, as it heads towards infinity.
28.
a)
horizontal shift to the right 4 and vertical shift down 2
b)
horizontal shift to the left 4 and vertical shift up 2
c)
horizontal shift to the right 4 and vertical shift up 2
d)
horizontal shift to the left 4 and vertical shift down 2
29.
a)
horizontal shift to the right 4 and vertical shift down 2
b)
horizontal shift to the left 4 and vertical shift down 2
c)
horizontal shift to the right 4 and vertical shift up 2
d)
horizontal shift to the left 4 and vertical shift up 2
30.
a)
horizontal shift to the right 2 and vertical shift up 4
b)
horizontal shift to the right 2 and vertical shift down 4
c)
horizontal shift to the left 2 and vertical shift up 2
d)
horizontal shift to the left 2 and vertical shift down 2
31.
a)
horizontal shift to the right 2 and vertical shift up 4
b)
horizontal shift to the right 2 and vertical shift down 4
c)
horizontal shift to the left 2 and vertical shift up 4
d)
horizontal shift to the left 2 and vertical shift down 4
32.
a)
horizontal shift to the left 2 and vertical stretch by a factor of 3
b)
horizontal shift to the right 2 and vertical stretch by a factor of 3
c)
horizontal shift to the right 2 and vertical compression by a factor of 3
d)
horizontal shift to the left 2 and vertical compression by a factor of 3
33.
f(x) = 5x2 + 2
a)
Stretch of 5
Up 2
Up 2
b)
Shrink of 5
Up 2
Up 2
c)
Stretch of 5
Down 2
Down 2
d)
Shrink of 5
Down 2
Down 2
34.
a)
A.
b)
B.
c)
C.
d)
D.
35.
a)
A.
b)
B.
c)
C.
d)
D.
36.
a)
A.
b)
B.
c)
C.
d)
D.
37.
a)
y = (x - 1)2 - 2
b)
y = (x + 1)2 - 2
c)
y = (x - 2)2 + 1
d)
y = (x + 2)2 - 1
38.
a)
y = (x - 2)2 + 4
b)
y = -(x - 4)2 + 2
c)
y = -(x - 2)2 + 4
d)
y = -(x + 2)2 + 4
39.
a)
y = Ix + 3I - 1
b)
y = Ix - 3I - 1
c)
y = Ix + 1I + 3
d)
y = Ix - 1I + 3
40.
a)
y = Ix + 2I - 1
b)
y = -Ix + 2I - 1
c)
y = -Ix - 2I - 1
d)
y = -Ix + 1I - 2
41.
DOMAIN?
a)
(-∞,∞)
b)
[0,∞)
c)
(-∞,0]
d)
[-∞,∞]
42.
RANGE?
a)
(-∞,∞)
b)
[0,∞)
c)
(-∞,0]
d)
[-∞,∞]
43.
The blue is f(x)=|x|, red must be:
a)
g(x)=|x+2|
b)
g(x)=|x|+2
c)
g(x)=|x-2|
d)
g(x)=|x|-2
44.
Determine the equation for the red graph.
a)
g(x)=x3+1
b)
g(x)=x3-1
c)
g(x)=(x-1)3
d)
g(x)=(x+1)3
45.
If the blue is f(x)=x2, then the red must be
a)
g(x)=x2-5
b)
g(x)=x2+5
c)
g(x)=(x-5)2
d)
g(x)=(x+5)2
46.
Find the product:
(3x – 1)(x + 5)
(3x – 1)(x + 5)
a)
3x2 + 4x + 5
b)
3x2 + 4x - 5
c)
3x2 + 14x + 5
d)
3x2 + 14x - 5
47.
Simplify:
(x-7)2
(x-7)2
a)
x2-49
b)
x2+49
c)
x2-14x+49
d)
x2-14x-49
48.
What is the amplitude of the graph?
a)
-2
b)
2
c)
4
d)
-4
49.
What is the domain and range of y=sinx?
a)
D: (-∞, ∞)
R: [-1, 1]
R: [-1, 1]
b)
D: (-∞, ∞)
R: [-π, π]
R: [-π, π]
c)
D: (∞, -∞)
R: [-1, 1]
R: [-1, 1]
d)
D: (-∞, ∞)
R: [-∞, ∞]
R: [-∞, ∞]
50.
What is the amplitude of this function?
a)
2
b)
2π
c)
-2
d)
1
51.
What is the amplitude of the graph?
a)
1
b)
3
c)
6
d)
9
52.
what is the amplitude of y=3sin(7x)-2
a)
7
b)
-2
c)
3
d)
6
53.
Sine or Cosine?
a)
y=sinx
b)
y=cosx
54.
Sine or Cosine?
a)
y=sinx
b)
y=cosx
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