Equations/Transformations
Characteristics
Comparing
Rate of Change
Real World
100
Which equation would be best to find the y intercept? What is the y intercept?
f(x)=x^2+4x-5 (0,5)
100
What is the axis of symmetry?
x=-6
100
Which function has the higher y-intercept?
Function A
100
What is the rate of change from [1,4]?
-3
100
A toy rocket is launched through the air and then hits the ground. What is the max height the rocket reaches?
121 feet
200
What is the equation of the graph?
y=0.7(x-8)(x-3)
200
What is the axis of symmetry? What is the vertex?
x=5 (5,53)
200
Which function has a higher maximum value? The graph or the equation?
The graph
200
What is the rate of change on the interval [1, 3]?
-6
200
A toy rocket is launched through the air and then hits the ground. What is the domain of the rocket?
[0,4.5]
300
What is the equation of the graph?
y=-0.3(x-2)^2-5
300
Is the function concave up or down?
What is the axis of symmetry?
concave up, x=2
300
Which function has a higher y-intercept?
Function A
300
What is the rate of change from [0,2]?
6
300
A toy rocket is launched through the air and then hits the ground. When does the rocket hit the ground?
4.5 seconds
400
Write the equation of
y=x^2
after a translation right 1, up 3, and a vertical stretch by 6.
y=6(x-1)^2+3
400
What are the intervals of increase and decrease?
increase: (6,infinity)
decrease: (-infinity, 6)
400
Which function has a greater zero?
Function B
400
What is the rate of change on the interval [-2, 3]?
-2
400
A toy rocket is launched through the air and then hits the ground. What is the initial height of the rocket?
72 feet
500
What are the transformations of the function?
reflects, compression by 1/3, left 7, up 2
500
What are the intervals of positive and negative of the following graph?
positive: (-infinity, infinity)
negative: none
500
Which function has a minimum value at -8?
Function B
500
What is the rate of change on the interval [0,1]?
-2
500
A toy rocket is launched through the air and then hits the ground. When does the rocket reach it's maximum height?
1.75 seconds