Parabola
Absolute Value
solve Absolute value
Solve quadratics
Average rate of Change
100
What is the parent function of a Parabola?
y=x^2
100
What is the parent function of absolute value?
y=|x|
100
10=lxl+4
x=6
x=-6
100
x2=4
x=2, x=-2
100
Change in value is weight of winning dogs from 2013 and 2010 ( 50 and 35). Change in time is 2010-2013
50-35/ 2013-2010 subtract
15/3 = 5 simplify
200
What is the domain of a parent function parabola?
(-oo,oo)
200
What is the range for the function |x|?
[0,oo)
200
lx+1l=7
x=6, x=-8
200
x2+5=6
x=1, x=-1
200
A retail store is having a sale on tank tops. At 2:00PM, the store has sold 15 tank tops. At 5:00PM, the store discovers that it has sold 57 tanks.
What is the average rate of change between 2:00PM and 5:00PM
Rate = (57-15)/(5-2)
Rate = 42 / 3
Rate = 14 / 1
The store sold an average of 14 tank tops per hour between 2:00PM and 5:00PM
300
Describe the transformations that are occurring.
y=5(x-8)^2+2
vertical stretch by a factor of 5
8 units right
2 units up
300
Describe the transformations that are occurring.
y=1/2|x+2|-3
vertical compression by a factor of 1/2
2 units left
3 units down
300
3lx+2l=-6
no solution
300
10-x2=-15
x=5, x=-5
300
Rate =
(16-34)/(4-2
Rate =
-18/2
Rate = -9
The West Nile Virus DECREASED by an average of 9 cases per month between month 2 and
400
Given the following transformations, please create the function.
Vertical compression by factor of 1/2
5 units left
7 units up
y=1/2(x+4)^2+7
400
Given the following transformations, please create the function.
Reflected across the x-axis
vertical stretch by a factor of 2
9 units to the right
4 units down
y=-2|x-9|-4
400
2l3x-1l=4
x=1, x=-1/3
400
(x-2)2=16
x=6, x=-2
400
rate of change: change in y/ change in x
21-17/2009-2007 subtract
4/2 simplify
=-2
500
Write the equation for this function
y=(x+5)2-3
500
Write the equation of the function
y=-|x-3|-2
500
lxl<2
x<2 and x>-2
-2<x<2
500
2(x+4)2=18
x=-7, x=-1
500
A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?
75 feet per hour during this portion of the hike.