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Identify the Vertex
Identify the Vertex Word Problems
Identify "a"
Describe the Transformation
Axis of Symmetry
100
100. f(x)=x^2
What is (0, 0)
100
The height of a projectile is modeled by the equation f(x)=-8(x-2)^2 +10 where f(x) is the height in feet and x is the seconds. After how many seconds is the projectile at its highest point? What is the highest point the projectile reaches?
What is 2 seconds and 10 feet.
100

Vertex is (1,2) and passes through (3,10)

What is 2

100

f(x) = (x)^2 + 3

What is vertical translation 3 up

100
f(x) = 3(x - 4)^2 - 6
What is x = 4
200
f(x)=-2(x+7)^2
What is (-7, 0)
200
The height of a ball, h meters, in t seconds is given by the function h= -5(t-3)^2 + 46.5. That is the maximum height of the ball?
What is 46.5 meters
200

Vertex is (-2,-4) and passes through (-1,-6)

What is -2

200

f(x) = (x+4)^2

What is horizontal translation 4 left

200
f(x) = 3(x - 6)^2 - 6
What is x = 6
300
f(x) = 9(x + 5)^2 - 10
What is (-5, -10)
300
The cost in C dollars of operating a machine per day is given by the function C= 2(x - 5)^2 + 25. What is the minimum cost to operate the machine?
What is $25.
300

Vertex is (8,1) and passes through (10,13)

What is 3

300

f(x) = -2(x)^2

What is reflection and vertical stretch by 2

300
f(x) = (x + 7)^2 - 4
What is x = -7
400
f(x) = -10(x)^2 - 4
What is (0, -4)
400
A quarterback passed the ball to a receiver 40 meters downfield. The path of the ball can be described by the equation h= (x - 2)^2 + 24 where x is seconds and h is meters. When does the ball reach its maximum height?
What is 2 seconds.
400

Create the vertex form equation given the following: Vertex is (1,8) and passes through (3,12)

What is y= (x-1)^2+8

400

f(x) = (x-3)^2 +4

What is horizontal translation 3 up and vertical translation 4 up 

400
f(x) = (x +10)^2 - 2
What is x = -10
500
f(x) = -1000(x + 893)^2 - 2009
What is (-893, -2009)
500
A missile is launched and the function f(x)= -2(x-18)^2 - 648 represents its path where f(x) is the height of the missile. A plane is flying at a height of 650 feet. Is the plane in danger? Why?
What is no, the missile only reaches 648 feet
500

Create the vertex form equation given the following: Vertex is (5, -2) and passes through (7,0)

What is y= 1/2(x-5)^2-2

500

f(x) = 1/2(x+2)^2 +3

What is vertical shrink by 1/2, horizontal translation 2 left, and vertical translation 3 up

500
f(x) = (x + 0.5)^2 - 2.5
What is x = -0.5