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Graphing Equations
What's the equation?
Division
Mystery
Real World Problems
100
What is the end behavior of Y=4X^2 + 6X?
Rises,rises
100
What is the vertex of Y=3(X - 2)^2 + 3
(2,3)
100
(X^2 + 6X + 8)/(X + 2) *Use synthetic division!
X+4
100
Where on a ship is the crow's nest?
On the tallest mast
100
Judy has 4 pet rabbits, and none of them get along. She decides to build a cage in her backyard with separate sections for each rabbit. She uses outside wall of her house for one side of each area, and she has 20 meters of fencing for the other three sides and the dividers. What equation can she use to determine the maximum area she can divide up?
Y=-5X^2 + 2X
200
What is the end behavior of Y=-4X^7 + 2X^3 + 3?
rises,falls
200
Write the equation for a parabola with a vertex at (3,4) that passes through point (2,1)
Y=-3(X - 3)^2 + 4
200
(X^3 - X^2 + 2X + 16)/(X+2) *Use synthetic division!
X^2 - 3X + 8
200
How far was 1000 paces to the Romans?
One mile
200
Bobby has 5 cars, and he needs to build a garage to store tem in. He want to make one building with a separate section for each car. He will use the outside wall of his house for one side of each area and wants the remaining sides and dividers to total no more than 200 meters in length. What equation can he use to determine the maximum area he can divide up?
Y=-6X^2 + 200X
300
What is the vertex of -4X^2 - 2X + 5
(-1/4,5/4)
300
Write the equation for a parabola with a vertex at (7,4) that passes through point (12,10)
Y=6/25(X - 7)^2 + 4
300
(X^3 + 2X^2 - 2X - 4)/(X - 1) *Use synthetic division!
X^2 + 3X + 1 - [3/(X - 1)]
300
When was the first Wal-Mart store opened?
1962
300
Lucy has 3 ponies and wants to divide the corral so each of them have their own space. She will use the wall of her barn for one side of each area, and she has 100 meters of fencing for the other sides and the dividers. What is the width of the corral if she maximizes the area?
12.5 meters
400
Find the X- and Y-intercepts for Y=2X^2 + 4X - 3
([(-2 - 10^1/2)/2],-3),([(-2 + 10^1/2)/2],-3)
400
Write the equation for a parabola with a vertex at (-2,-1/4) that passes through point (1/2,112)
Y=449/25(X + 2)^2 - 1/4
400
X^4 - X^3 -X - 3/X - 1 *Use long division!
X^3 - 1 - [4/(X-1)]
400
What muscle in the human body is not attached at both ends?
The tongue
400
George has 4 dogs and wants to divide their pen so each of them have their own space. He will use the wall of his barn for one side of each area, and he has 50 meters of fencing for the other sides and the dividers. What is the maximum area of the pen?
125 meters
500
What is the axis of symmetry of Y=-2X^4 + -4X^3 - 2X^2 - 3X +5
X = -1
500
Write Y=2X^2 + 4X -3 in general form
Y=2(X+1)^2 - 5
500
(2X^4 - X^3 + 2X^2 - X + 4)/(X-2) *Use long division!
2X^3 + 3X^2 + 8X + 15 + [34/(X-2)]
500
Which chess piece used to be called "the elephant"?
The bishop
500
Mrs. Robbins needs to set up a room so 3 students can take a standardized test. She will have to put up barriers so there is no cheating. The barriers form a rectangle shape. If the classroom wall is one side of each area, and the other sides and dividers have a total length of 20 meters, what are the dimensions of one student's space?
Width: 10/3 meters Length: 2.5 meters