Factoring
Factor: 4x2 - 8x
4x(x - 2)
What is the vertex of y = (x - 2)2 + 3?
(2, 3)
The initial value of y = 3.4(1.06)x
3.4
Evaluate: |6 - 8| + 5
7
This measure of center is found by listing out the data values least to greatest and finding the "middle" value.
Median
Factor: x2 +11x + 18
(x + 9)(x + 2)
What is the y-intercept of y = x2 + 7x +10?
(0, 10)
Is the function y = 4(0.99)x growth or decay?
Decay
0.99<1
What are the transformations to the function? y = |x + 4| - 5
In a box and whisker plot, what percent of the data falls between Q1 and Q3?
50%
Factor: x2 - 19x - 20
(x - 20)(x + 1)
None.
The growth of bacteria can be modeled after y= 10(1.05)x where x is time in hours. What is the percentage of growth each hour?
5%
Write an absolute value function that has been stretched by 2, shifted right 4, and up 8.
y = 2|x - 4| + 8
Data that has a normal distribution uses which measure of center: mean or median?
Mean
Factor: x2 - 16
(x + 4)(x - 4)
A ball is thrown in the air and follows the function: f(x) = -16x2 + 8x + 20. What is the initial height of the ball?
20 ft.
A population of deer is decreasing every year by the function f(x) = 100(0.7)x. How many deer remain after 10 years?
About 2 or 3 deer
Find the y-intercept of y = |x + 5| + 9
(0, 14)
Outliers
Factor: 2x2 + 16x + 30
2(x + 3)(x + 5)
A ball is thrown in the air and follows the function: f(x) = -16x2 + 16x + 20 where f(x) is height and x is time in seconds. When does the ball reach its maximum height?
0.5 seconds
A bacteria starts with 10 and grows 5% each hour. When will the bacteria reach 1,000?
Approx 94 hours
Find the x-intercept(s) of y = 4|x - 2|
(2, 0)
Coffee Shop A has a standard deviation of 2ml of syrup. Coffee Shop B has a deviation of 10ml of syrup. If they have the same mean, which coffee shop is more consistent with their syrup?
Coffee Shop A