Graphing
Solving by factoring
Quadratic formula
Applications
Random Review
100
Would the equation y = x2 − 8x + 15 create a positive (happy) parabola or a negative (sad) parabola? Explain how you know.
This equation would create a positive parabola (happy face) because the a value is positive.
100
Solve this quadratics by factoring.
x2 + 2x = 3
x2 + 2x - 3 = 0
(x-1)(x+3) = 0
x = {-3,1}
100
Is this quadratic formula?
Yes
100
Joey dives off a diving board. The equation to model this is h = -16t2 + 32t + 48. t is time in seconds and h is height in feet.
What was Joey's starting height on the diving board?
The starting height is 48 feet.
Starting height = y-int = "c"
100
Simplify:
-4x3 * 5x10
-20x13
200
Find the Axis of Symmetry for y= x2 - 12x +19.
x=6
200
Who is Taylor Swift dating?
Travis Kelce
200
Solve 2x2 + 9x + 4 = 0 using the quadratic formula.
x= {-4 , -0.25}
200
Joey dives off a diving board. The equation to model this is h = -16t2 + 32t + 48. t is time in seconds and h is height in feet.
After how many seconds was Joey at his maximum height?
Joey was at the maximum height 1 second after jumping off of the diving board.
200
Simplify the SQUARE ROOT of:
45x5y20
3x2y10 SR 5x
300
Find the vertex of y = x2 − 6
(0, -6)
300
Solve this quadratic equation by factoring.
x2 - 25 = 0
(x+5)(x-5)=0
x={-5,5}
300
How many feet are in a mile?
5,280
300
Joey dives off a diving board. The equation to model this is h = -16t2 + 32t + 48. t is time in seconds and h is height in feet.
What is Joey's maximum height?
Joey's maximum height is 64 feet.
300
Simplify:
(3x - 8)(x2 - 5x + 3)
3x3 - 23x2 +49x - 24
400
Find the vertex of y= -3x2 + 12x - 7
(2,5)
400
Solve this quadratic equation by factoring.
4x2 - 2x = 3x2 + 48
x2 -2x - 48 = 0
(x-8)(x+6)=0
x={-6,8}
400
Solve 13x2 -8x + 1 = -3x2 using the quadratic formula.
x = 0.25
400
Joey dives off a diving board. The equation to model this is h = -16t2 + 32t + 48. t is time in seconds and h is height in feet.
How many seconds will it take for Joey to reach the water?
Joey will reach the water 3 seconds after jumping.
400
What is the capital of Washington State?
Olympia
500
Who is Mrs. Monarch's sister?
Mrs. Callahan
500
Solve this quadratic equation by factoring.
2x2 - 8x = 2x + x2
x2 - 10x = 0
(x+0)(x-10)=0
x = {0, 10}
500
Solve -2x2 + 13x = -6x2 + 12 by using quadratic formula.
x = {-4, 0.75}
500
Joey dives off a diving board. The equation to model this is h = -16t2 + 32t + 48. t is time in seconds and h is height in feet.
How high in the air will Joey be 2.5 seconds after jumping?
After 2.5 seconds, Joey will be 28 feet in the air.
500
Solve:
6n2 - 18n - 18 = 6
x = {4,-1}