Average Rate of Change
Key Features of Parabolas
More Key Features
Story Problems
Random
100
What is the formula for average rate of change?
slope formula
100
What is the vertex of the parabola y=x2
(0,0)
100
Does the graph y=-x2+4x-5 have a maximum or a minimum?
Max
100
A ball is shot from a cannon into the air with an upward velocity of 40 ft/sec. The equation that gives the height (h) of the ball at any time (t) is:
h(t)= -16t2 + 40t + 1.5.
What is the initial height of the ball?
1.5
100
What are the coordinates from point A?
(4,4)
200
What is the average rate of change between the points (1,4) (3,10)
3
200
What are the x-intercepts of the graph y=x2-3x-10
5 and -2
200
What are the x-intercepts of the graph y=2x-4
2
200
A ball is shot from a cannon into the air with an upward velocity. The equation that gives the height (h) of the ball at any time (t) is:
h(t)= -16t2 + 64t +4 .
Over what interval is the ball's height increasing?
(0,2) seconds
200
What are the coordinates of point F?
(5,0)
300
What is the average rate of change over the interval (0,3) 
-2
300
What is the y-intercept of the graph y=x2-3x-10
-10
300
Which graph has a larger maximum?
1) y=-x2+4x+12
2) y=-x2-2x+30
2
300
A ball is shot from a cannon into the air with an upward velocity. The equation that gives the height (h) of the ball at any time (t) is:
h(t)= -16t2 + 64t +4 .
What is the vertex and what does it mean in the context of the problem?
(2,68) good explanation
300
Write the steps you would take on the calculator to graph the following equation
y=x2+7x-4
steps written here.
400
During which interval was the biker resting? (Three answers)
B-D-F
400
What is the y-intercept of the graph y=x2-4x-10
What is the interval over which the graph is increasing?
x is less than or equal to 2
400
Which graph has a larger y-intercept?
1) y=x2-4x+15
2) 1) y=x2-4x+8
1
400
What buttons to you press to clear the calculator?
2nd plus 712
500
A ball is shot from a cannon into the air with an upward velocity. The equation that gives the height (h) of the ball at any time (t) is:
h(t)= -16t2 + 64t +4 .
What is the average rate of change from 0 to 2 seconds?
32
500
What are the x-intercepts of the graph y=(x-1.5)(x-4)
1.5 and 4
500
What is the axis of symmetry of the parabola
y=x2-2x-4
x=1
500
A ball is shot from a cannon into the air with an upward velocity of 40 ft/sec. The equation that gives the height (h) of the ball at any time (t) is:
h(t)= -16t2 + 40ft + 1.5.
At what time will the ball hit the ground?