Transformations of functions
Exponential Functions
Statistics
Probability
Trigonometry & Geometry
Unit Circle & Sine Waves
100
Describe the transformation
f(x-2)+3
Shift (translate) 2 units RIGHT and 3 units UP
100
The number of zombies are tripling. If the zombie outbreak started with 5 zombies, write the equation that models the number on new zombies there will be each day.
z(x)=5(3)^x
100
Based on the calculator output for a dataset, determine the standard deviation of the data, rounding to 3 significant figures.
sigma=8.45
100
The following two-way frequency table summarizes how many students passed a test and completed the homework dur the day of the test. What is the probability that a student who passed the test complete the homework?
P(completed HW | Passed) =
16/20= 4/5 = 0.8
100
Solve for x. Round to 3 significant figures.
x=38.6
100
Find the missing side length a.
a=(4sqrt(3))/3
200
Describe the difference between
-f(x) and
f(-x)
-f(x) reflects over the x-axis
f(-x) reflects over the y-axis
200
$7100 dollars is placed in an account with an annual interest rate of 7.75%. How much will be in the account after 30 years, to the nearest cent?
f(30)=7100(1.0775)^30
f(30)=$66646.40
200
For the following dataset, find the mean, median, and mode.
81, 86, 87, 100, 113, 113, 120, 172
Mean = 109
Median = 106.5
Mode = 113
200
Given events A and B are independent and P(A) = 0.45 and P(B) = 0.72, what is
P(AnnB)
P(AnnB)=0.324
200
In triangle ABC, a=580 inches, b=340, and angle C=165 degrees. Find the area of triangle ABC to the nearest square inch.
Area
triangle ABC=25520
200
Given the following unit circle, draw the location of angle and create a reference traignle, then find the exact value of the function.
cos(150)=-sqrt3/2
300
Given the function
y=2^x
write the equation that is reflected over the x-axis and shifted 4 units LEFT
y=-2^(x+4)
300
A new car is purchased for $19,000. The value of the car depreciates at 11.25% per year. What will the value of the car be, to the nearest cent, after 14 years?
f(14)=19000(1-.1125)^14
f(14)=19000(0.8875)^14
f(14)=$3573.64
300
Based on the data represented from the bar graph:
1) how many total people were surveyed?
2) What is the mean number of social media posts made by students in a day?
1) Total students surveyed: 21
2) Mean = 4.29
300
Given P(A)=0.4, P(B)=0.56, and P(A and B)=0.274, find the value of P(A or B).
P(A or B) = 0.686
300
Find the measure for angle W.
angleW=41.0^o
300
Given the following unit circle, draw the location of angle and create a reference traignle, then find the exact value of the function. Find
sin(585^o)
Sin(495)=-sqrt2/2
400
The function for this graph is
f(x)=sqrtx
Write the equation for the dotted function. 
y=sqrt(x+5)+3
400
Adam invested $24,000 in an account paying an interest rate of 2.8% compounded quarterly. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 10 years?
y=2400(1+0.028/4)^(4(10))
y=$31,724
400
A math teacher is comparing students' homework grades to test grades to determine correlation.
Find the linear regression equation and correlation coefficient. Round all answers to 3 significant figures.
r = 0.938 (strong positive correlation)
y=1.55x-45.1
400
Given events A and B are independent with P(A)=0.15 and
P(A nn B)=0.096
, determine the value of P(B).
P(B) = 0.64
400
Find the volume of a pyramid with a square base, where the perimeter of the base is 12 cm and the height of the pyramid is 16cm. Round your answer to 3 significant figures.
Volume of pyramid = 48 cubic cm.
400
Write the equation of the trigonometric function shown in the graph in the form
y=Asin(Bx)+C or y=Acos(Bx)+C
y=2sin(x)-1
500
y=2^(-x)+3
500
Ellie invested $6,400 in an account paying an interest rate of 5.1% compounded daily. Assuming no deposits or withdrawls are made, how much money, to the nearest hundred dollars, would be in the account after 13 years?
y=6400(1+0.051/365)^(365(13))
y=$12,400
500
The number of newly reported crime cases in a town i shown in the table. Write the linear regression equation (round to the nearest hundredth). Using the equation, find the projected year for the number of new cases to be 665.
Linear Regression Equation: y = -21.63x + 858.90
Year of projected 665 new crime cases is 2010
500
Given P(A) = 0.35, P(B) = 0.24 and
P(AuuB)=0.406
find the value of
P(AnnB)
P(AnnB)=0.184
500
What is the diameter for a cylinder with a volume of 914 cubic feet and a height of 7.1 feet?
Diameter = 12.8 feet
500
Write the equation of the trigonometric function shown in the graph in the form
y=Asin(Bx)+C or y=Acos(Bx)+C
y=-2cos(1/3x)-1
