Describe the Shift
Write the Equation
Write the Equation 2
Characteristics
Mixed Review
100
Based on the function y=5x describe the transformation y=5x-7
shifted 7 units down
100
create a new function for the graph y=2x that is transformed up 2 units
y=2x + 2
100
write the transformed function of y=3x stretched by factor 2 and shifted 3 units up
y=2(3)x+3
100
What is the asymptote of the following function
y=1
100
Which letter is responsible for vertical shifts in an exponential function?
f(x)=a(b)^(x-h)+k
k
200
Based on the function y=5x describe the transformation y=5x + 5
5 units up
200
create a new function for the graph y=2x with k=-5
y=2x - 5
200
write the transformed function of y=3x shifted 10 units down and reflected over the x axis
y=-3x+10
200
Is the following growth or decay?
y = 1/2(3)^x-1
Growth
200
Which letter is responsible for horizontal shifts in an exponential function?
f(x)=a(b)^(x-h)+k
h
300
Based on the function y=5x describe the transformation y=5x+4
shifts 4 units left
300
create a new function for the graph y=2x with h=1
y=2x -1
300
write the transformed function of y=3x shifted 1 unit right and compressed by factor 0.5.
y=0.5(3)x-1
300
What is the domain and range of the following function:
Domain = All real numbers
Range = y>2
300
What is the transformation made from the function y=abx to the function y=-abx
It is reflected over the x-axis
400
Based on the function y=5x describe the transformation y=5x+1 + 3
Shifted 1 unit left and 3 units up
400
create a new function for the graph y=2x that is translated left 9 units
y=2x+9
400
write the transformed function of y=3x shifted 4 units left, 2 units up, and reflected over the x axis
y=-3x+4+2
400
If I graphed
y=2^x+2
, and you graphed
y=2^x-3
, how much lower will your y-intercept be than mine?
5 units lower
400
Which function has an asymptote at y=b?
D
500
Based on the function y=5x describe the transformation y=-5x-3-2
shifted 3 units right, 2 units down and reflected over x axis
500
create a new function for the graph y=2x that is translated up 7 units and left 3 units
y=2x+3 +7
500
write the transformed function of y=3x reflected over the y axis, shifted 1 unit down, and 8 units right
y=3-(x-8) - 1
500
For the function
f(x)=7^x
, find the y-intercept given the transformation
f(x)-3
(0, -2)
500
Which of the following has a different asymptote than the rest of the functions?
C