Real World
Characteristics
Graphing
Zeros
Factoring
100
The path of a ball thrown by a baseball player forms a parabola with equation
What is Role of a: -a opens down -.0012<1 more wide vertex: (49, 8.5) shifts: right 49 up 8.5 A.O.S. x=49 domain: (-∞, ∞) range: [0, 8.5]
100
The highest or lowest point (minimum or maximum)
What is the vertex
100
What is the vertex given: f(x)=1/2x^2-8x+24
What is (8,-8)
100
Write a quadratic function in standard form using the given zeros: x=7, x=-4
What is y=x^2-3x-28
100
Factor: x^2-2x-24
What is (x-6)(x-4)
200
You and your friend are playing tennis. Your friend launches the ball high into the air, hitting it 3 feet above the court with an initial vertical velocity of 40 feet per second.   Write a model for the height ℎ(
What is ℎ(
200
The vertical line that splits the parabola equally in half (symmetrical) (x=x-value of vertex)
What is the axis of symmetry
200
a. Draw and label an input output table that corresponds to f(x)=1/2x^2-8x+24 b. How is this graph opening?
What is x y 6 -6 7 -7.5 8 -8 9 -7.5 10 -6 opens up!
200
Write a quadratic function in standard form using the given zeros: x=0, x=8
What is y=x^2-8x
200
Factor: f(x)=2x^2+12x+16
What is 2(x+4)(x+2)
300
A kernel of popcorn contains water that expands when the kernel is heated, causing it to pop. The equations below give the “popping volume”
What is x-value vertex: -15.29% y-value vertex: 68.76
300
To find the vertex of this form of quadratic functions you must identify the h and k values
What is vertex form
300
What is the vertex given: f(x)=-2x^2+12x-10
What is (3,8)
300
Write a quadratic function in standard form using the given zeros: x=9 repeated
What is y=x^2-18x+81
300
Identify the GCF given: 12y^5-18y^3+36y^7
What is 6y^3
400
The amount s(n) (in pounds per acre) of sugar produced from sugarbeets can be modeled by the function s(n) = -0.0655n^2 + 7.855n + 5562 where n is the amount (in pounds per acre) of nitrogen fertilizer used. How much fertilizer should you use to maximize sugar production? What is the maximum amount of sugar you can produce?
What is x-value vertex: 59.96 pounds of fertilizer y-value vertex: 5,797.51 pounds of sugar produced 59.96 pounds of fertilizer should be used to produce a maximum of 5,797.51 pounds of sugar produced
400
Find the vertex given f(x)=3x^2-12x+1
What is (2, -11)
400
a. Draw and label an input output table that corresponds to f(x)=-2x^2+12x-10 b. How is this graph opening?
What is x y 1 0 2 6 3 8 4 6 5 0 Opens down!!
400
Write a quadratic function in standard form using the given zeros and characteristic of a: Zeros: x=0, x=-12 more wide
What is y=1/2x^2+6x
400
Factor: 5x^2+27x-18
What is (5x-3)(x+6)
500
The price of gasoline at a local station throughout the month of March is modeled by f(x)=-0.014(x-16)^2+1.26 where x=1 corresponds to March 1. a. On what day in March did the price of gasoline reach its maximum? b. What was the highest price of gasoline in March?
a. What is March 16th b. 1.26 was the highest price of gasoline in March
500
Find the range given the quadratic function: f(x)=-1/2(x-5)^2+8
What is (-∞, 8]
500
a. Draw and label an input output table that corresponds to f(x)=-1/4x(x-5)^2+2 b. How is this graph opening?
What is x y 3 1 4 1.75 5 2 6 1.75 7 1 Opens down!!
500
Write a quadratic function in standard form using the given zeros and characteristic of a: Zeros: x=-1, x=-11 opens down and narrow
What is y=-2x^2-24x-22
500
Find the solutions of: 3x^2-20x=-12
What is x=6 and x=2/3
M
e
n
u