Graphing Quadratics
Intercept Form
Area
Projectile Motion
*MYSTERY CATEGORY*
100
Does y = -16x2 + 15x + 23 have a maximum or minimum?
maximum
100
What is one other name for an x-intercept?
root, solution, or zero
100
What is the formula for the area of a rectangle?
Area = Length x Width
100
When a problem is asking for the maximum height of a projectile. What point is it actually asking for on the graph?
Vertex
100
If you're 8 feet away from a door and with each move you advance half the distance to the door.
How many moves will it take to reach the door?
Infinity! Technically you will never reach the door, as you can only move half the distance, no matter how small.
200
What is the vertex of:
y = 3x2-6x+35
Is it a maximum or minimum?
(1, 32)
Minimum
200
What are the x and y intercepts?
x-int: -1 and 3
y-int: -3
200
The dimensions of a rectangle can be given by x+6 and x. If the area of the rectangle is 135in2, what are the dimensions of the rectangle?
length:15in
width:9in
200
When a problem asks how long it will take for an object to reach the ground, what points is actually asking for on the graph?
X-intercepts
200
A cell phone and phone case cost $110 in total.
The cell phone costs $100 more than the phone case.
How much was the cell phone?
$105 (not $110).
300
What is the vertex of:
y = 2x2-12x+5
Is it a maximum or minimum?
(3, -13)
Minimum
300
x and y intercepts
x-int:0
y-int:0
300
What is the area of a triangle?
Area = (1/2)bh
300
A soccer ball is kicked in the air. The equation
h = -16t2+90t gives the height h of the ball after t seconds.
Find the maximum height of the soccer ball. (Round to the hundredths place)
126.56 feet
300
How many days of school are left? (Counting today)
23 days
400
What is the vertex of:
y = -x2+12x+2
Is it a maximum or minimum?
(6, 38)
Maximum
400
What is the x and y intercepts
x-int:-4 & 0
y-int:0
400
Mr. McCory throws a baseball in the air from an 80-foot-high platform. The equation for the height h of the apple at time t after the throw is:
h = -16t2+64t+80
How many seconds will it take for the apple to hit the ground?
5 seconds
400
A new medical building containing 100 offices had just been completed.
Mark was hired to paint the numbers 1 to 100 on the doors.
How many times will Mark have to paint the number nine?
20
(9, 19, 29, 39, 49, 59, 69, 79, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99.)
500
Find the x-intercepts of the function:
y = -16x2 + 128x
x =0
x = 8
500
What is the x and y intercepts?
x-int:-3 & -1
y-int:-3
500
The dimensions of a rectangle can be given by x+7 and x+2. If the area of the rectangle is 66in2, what are the dimensions of the rectangle?
length: 11in
width: 6in
500
An egg is thrown out a window. The path of the egg is mapped by the equation h = -16t2+25.
Find the maximum height of the egg AND find how many seconds it will take for the egg to hit the ground.
Maximum Height: 25 feet
Time to hit the ground: 1.25 seconds
500
If Mary has seven daughters, and each has a brother, how many kids does Mary have?
8
1 boy and 7 girls