WorksheetsTransformations of Exponential Equations
Total questions: 20
Worksheet time: 16mins
Name
Class
Date
1.
What is the y-intercept of
y = -9(2/3)-x
y = -9(2/3)-x
a)
(0,-9)
b)
(0,2/3)
c)
(0,3/2)
d)
(0,9)
2.
Is the function INCREASING or DECREASING?
y = (2/3)-x
y = (2/3)-x
a)
Increasing
b)
Decreasing
3.
How would you change the function so that it is decreasing?
y = 3(2)x
y = 3(2)x
a)
Change the x to -x
b)
Change the 2 to -2
c)
Change the 3 to 7
d)
Change the x to t
4.
Is the value of "B" MORE or LESS than one?
a)
More
b)
Less
5.
What is the value of "A" ?
a)
1
b)
2
c)
3
d)
0
6.
What is the equation of the horizontal asymptote?
a)
y=1
b)
y=0
7.
What is the x-intercept of the exponential function?
a)
(0,1)
b)
(0,0)
c)
There is not one
8.
Compare f(x) = 3x- 4 with the basic function g(x) = 3x
a)
4 units up
b)
4 units to the left
c)
4 units to the right
d)
4 units down
9.
Given g(x)=(1/2)x
Write a function that is reflected over the line y=0 and translated 4 units up.
Write a function that is reflected over the line y=0 and translated 4 units up.
a)
f(x)= -(1/2)x+4
b)
f(x)= -(1/2)x+4
c)
f(x)= (1/2)x-4
d)
f(x)= -(1/2)x+4
10.
What kind of transformation is represented?
a)
up 1 unit
b)
left 1 unit
c)
right 1 unit
d)
down 1 unit
11.
What is the transformation?
a)
Horizontal Translation left 2
b)
Vertical Translation down 2
c)
None
d)
Reflection across the line y=0
12.
What transformations have happened to f(x) = 2x if the new equation is
g(x) = -2(x+3) -6
g(x) = -2(x+3) -6
a)
It stayed the same
b)
reflects, up 3, left 6
c)
reflects, right 3, down 6
d)
reflects, left 3, down 6
13.
y=-4(x+1)
Describe the translation
Describe the translation
a)
Reflected over y=1 and right 1
b)
Reflected over y=0 and left 1
c)
Reflected over y=0
d)
Reflected over y=0 and right 1
14.
What transformations have happened to f(x) = 2x if the new equation is
g(x) = -2(x+3) -6
g(x) = -2(x+3) -6
a)
It stayed the same
b)
reflects, up 3, left 6
c)
reflects, right 3, down 6
d)
reflects, left 3, down 6
15.
What transformations occur in the following function?
a)
right 3, up 2
b)
left 3, up 2
c)
left 3, down 2
d)
right 3, down 2
16.
y=-4(x+1)
Describe the translation
Describe the translation
a)
Reflected over y=1 and right 1
b)
Reflected over y=0 and left 1
c)
Reflected over y=0
d)
Reflected over y=0 and right 1
17.
Given f(x) = 4x and the translated function
g(x) = 4-x +6, which translation would result in a change of the range?
g(x) = 4-x +6, which translation would result in a change of the range?
a)
Reflection over the line x=0
b)
Vertical shirt of 6 units up
c)
Neither
18.
Which function represents the table of values?
a)
f(x) = 4x
b)
f(x) = x3
c)
f(x) = 4x
d)
f(x) = 4x-1
19.
Given f(x)=5x write a function that is reflected over the vertical line x=0
a)
g(x) = -5x
b)
h(x)= 5-x
20.
What is the range of the function f(x) = ⅔x
a)
(-∞, ∞)
b)
(0,∞)
c)
(-∞,0)
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