Factored form graphs and functions
Solving by factoring
Vertex form graphs and funtions
Solving by completing the square
Vertical Motion Model
100
The x-intercepts of this function are -3 and 1.
What is f(x)=(x+3)(x-1)
100
x^2+5x+6=0
What is -2 and -3
100
The transformations of f(x)=(x-2)^2+4
What is translate right 2 and up 4
100
(x-4)^2=36
What is x=10 or x= -2
100
You kick a soccer ball off of the ground with an initial velocity of 32 feet per second. The ball lands on top of a roof 16 feet off of the ground. How long was the soccer ball in the air before it landed on the roof?
What is 1 second
200
The function with these x-intercepts is f(x)=2(x-4)(x+2)
What is 4 and -2
200
2x^2+7x+6=0
What is -2 and -3/2
200
The transformations for f(x)=-1/3(x+3)^2
What is translate left 3, reflect over the x-axis, vertical compression
200
x^2-10x+25=4
What is x= 7 or x= 3
200
A stuntman is launched from a cannon with an initial velocity of 16 feet per second from a height of 64 feet off the ground. After hurling through the air, the stuntman lands in a net that is 32 feet off of the ground. After how much time was the stuntman in the air before he hit the net?
What is 2 seconds
300
The y-intercept of f(x)=2(x-3)(x+3)
What is -18
300
3x^2+10x=8
What is -4 and 2/3
300
The vertex and y-intercept of g(x)=2(x-3)^2-10
What is (3, -10) and (0, 8)
300
x^2+6x=16
What is x = 2 or -8
300
A stuntman is launched from a cannon with an initial velocity of 48 feet per second from a height of 64 feet off the ground. At what time did the stuntman reach his maximum height? What was his maximum height?
What is 1.5 seconds and 100 feet
400
The minimum of f(x)=(x+2)(x-4)
What is (1, -9)
400
6x^2=-12x
What is 0 and -2
400
The function in vertex form with vertex(2,-4) and y-intercept (0,0)
What is f(x)=1(x-2)^2 -4
400
x^2-4x-8=0
What is x=2+/-2sqrt(3)
400
You throw a softball off of the roof of the Tiger Hotel which is 112 feet off of the ground with an initial velocity of 24 feet per second. At what time did the softball reach its maximum height? What was its maximum height?
What is 0.75 seconds and 121 feet
500
The function with x-intercepts 2 and 6 with a maximum of (4,2)
What is f(x)= -1/2(x-2)(x-6)
500
8x^2+9=18x
What is 3/2 and 3/4
500
The function in vertex form with vertex (-5,2) and x-intercept (-3,0)
What is f(x)=-1/2(x+5)^2+2
500
2x^2+8x-10=0
What is x= 1 or x = -5
500
You kick a football off of the ground with an initial velocity of 56 feet per second. After how much time will the football land on the ground? At what time did will the football reach its maximum height? What was its maximum height?
What is 3.5 seconds and 1.75 seconds and 49 feet
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