Quadratic Graphs and their Properties

Quadratic Functions

Solving Quadratic Equations

Solving Quadratic Equations 2

Solving Quadratic Equations 3

100

A graph shows a quadratic function opening down, what is the value of "a".

Negative

100

All quadratic functions are written in standard form ________ and have a line _____ as its line of symmetry.

y = ax^{2} + bx + c and x = -b/2a

100

What are the five methods used to solve quadratic equations?

Square root method, factoring, Quadratic Formula, graphing, and completing the square

100

What is the Quadratic Formula?

x = (-b ± √b^2 - 4ac)/2a

100

Solve the equation 4x^{2} + 25 = 100.

x = ±5

200

The quadratic function y=5x^{2 }+ 10x - 2 has a vertex that is a...

Minimum

200

Find the axis of symmetry for the quadratic function x^{2} + 10x + 6 = 0

x = -5

200

Solve the equation x^{2} + 7 = 88

x = 9, -9

200

The equation 2x^{2} + 75 = 75 has how many solutions?

1 solution

200

Solve the equation 9x^{2} + 39n + 36 = 0

x = -4/3, -3

300

Order the following quadratic functions in order from most stretched to least stretched: y=4x^{2}, y=-12x^{2}, y=11x^{2}, y=-2x^{2}

y=-12x^{2}, y=11x^{2}, y=4x^{2}, y=-2x^{2}

300

If the AOS of a quadratic function is x=2 and the quadratic function is x^{2 }- 9a +18 = 0 what is the coordinates of the vertex?

(2,4)

300

Solve the equation 7x^{2} + 68 = -380

No solution

300

Solve the equation x^{2} - 13x + 30

x = 3, 10

300

Solve the equation 7x^{2 }+ 84 = -49x

x = -4, -3

400

Order the following quadratic functions in order from most stretched to least stretched:y=4x^{2}, y=2/3x^{2}, y=-2x^{2}, y=-2/5x^{2}

y=-2/5x^{2}, y=2/3x^{2}, y=-2x^{2}, y=4x^{2}

400

Find the axis of symmetry and coordinates of the vertex for the quadratic function 2x^{2} + 6x + 4 = 0

x = -6/4, (-6/4, -1/2)

400

What is the discriminant of the equation
x^{2} + 15x + 30 = -6

81

400

Solve the following quadratic equation by factoring x^{2} + 12x + 35 = 0

x = -7, -5

400

Solve the equation 3x^{2} + 7x = 40

x = 8/3, -5

500

Create a table to represent the graph y = 5x^{2} from x=-2 to x=2.

(-2,20) (-1,5) (0,0) (1,5) (2,20)

500

Miss Failla threw a baseball and it's height h after t seconds is modeled by the function h = -16t^{2} + 76t. When does the baseball reach its maximum height, and what is the height?

2.25 seconds, 90 ft

500

Solve the equation 3x^{2} - 12x - 15 = 0 using the quadratic formula.

x = 5, -1

500

Solve the following quadratic equation by factoring 20x^{2} - 13x + 2 = 0

x = 2/5, 1/4

500

Solve the equation x^{2} - 2x - 10 = 5

x = 5, -3

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