Transformations
Growth or Decay?
WILDCARD
Riddles
100
What is the difference between vertical stretch and vertical compression?
Vertical stretch is when a>0, and when a is a decimal/fraction it's compressed.
100
What is the difference between growth or decay?
Exponential growth is when the graph is increasing over time, while exponential decay is when the graph is decreasing over time.
100
What is the formula for transformations?
f(x) = -a(b)^x+c + d
100
What can you put in a bucket to make it weigh less?
A hole!!
200
If a>0, is it vertical stretch or compression?
Vertical Stretch
200
f(x) = 0.5(2)x + 2---Identify if Growth or Decay
It's growth because you have to look at the b-value. If the b-value is less than 1, it's decay. If b>0, then it's exponential growth.
200
How do you find the Horizontal Asymptote?
It's the d value and it is the line that never meets the graph. Exponential functions never hit the H.A, and you could also call it a limiting factor.
200
What is at the end of a rainbow?
W; the letter
300
What is the Horizontal Asymptote?
The H.A is an imaginary line that a graph never meets.
300
f(x) = -7(0.7)x + 1-Identify if Growth or Decay
It would be Decay because b<0.
300
How do you find the y-intercept?
The y-intercept is found when you plug zero in for the x-value, and then you simplify.
300
Where do you take a sick boat?
Dock-tor
400
y=-5(2)^x-2 +3—----List the Transformation for this Function.
-=reflected over x-axis
a=5, vertical stretch
b=2, exponential Growth
c=-2, shift 2 units to the right
d=3, shift up 3 units
400
f(x)= 0.5(3)x + 3
Growth-----b>0
400
Identify the transformation based on the function: y = -3(0.9)^x-2 + 2
-=reflected over x-axis
a=3; stretched vertically
b=0.9; exponential decay
c=-2; Shift to the right two units
d=2; Shift up 2 units
400
What comes at the end of everything?
G; the letter
500
y=-(0.25)^x +2
-=reflected over x-axis
a=1, no stretch or compression
b=0.25, Exponential Decay
c=0, no shift left or right
d=2, shifted up 2 units
500
f(x) = 3^x
b=0, 0 is less than 1; b<0=decay; This function displays exponential decay.
500
THIS IS AN APPLICATION QUESTION!!!!
PLEASE INCLUDE A UNIT IN YOUR ANSWER
It would be 2441, or F because when you plug in the 6 value for t, you do (2.5)^6. That is 244.140625. Then, you have to multiply that by 10, and then you get 2441.40625. You round down, and you get 2,441 number of bacteria.
500
What is 3/7 Chicken, 2/3 cat, and 2/4 goat?
HINT: It's a city.
CHICAGO