Miscellaneous
Features of parabolas
Completing the Square
Quadratic Formula
Find The Vertex
100

Solve the following quadratic equation. (x - 7)(x + 2) = 0

x = 7 x = -2

100

Does the parabola below open up or down? 

y=-3x2+4x+1

down

100

Solve the following quadratic equation by completing the square: x2 + 6x = -8

x = -2 x = -4

100

2x2 + 2x − 12 = 0

{2, −3}

100
Find the vertex of y=-x^2+8x-15
(4,1)
200

A football is punted into the air. Its height h, in meters, after t seconds is given by the equation: 

h=-4.9t2+24.5t+1

What is the initial height of the ball?

1 meter

200

A parabola has an axis of symmetry x=-5 and passes through the point (-7,0).  Find another point on the parabola.

(-3,0)

200

Solve the following quadratic equation by completing the square: x2 - 6x = -5

x = 1 x = 5

200

Solve the following quadratic equation by using the quadratic formula: x2 + 6x + 5 = 0

x = -1 x = -5

200

Find the vertex of y = x^2 - 2x

(1,-1)

300

A football is punted into the air. Its height h, in meters, after t seconds is given by the equation: 

h=-4.9t2+24.5t+1

After how much time does the ball reach its maximum height?  Include units!!!

2.5 seconds

300
A parabola passes through the point (-3, 10)  and (5, 10).  What is the equation of the axis of symmetry?

x=1

300

Write the quadratic function in vertex form by completing the square.

y = x2 - 2x - 24

y = (x-1)2-25

300

Solve the following quadratic equation and round your answers to the nearest tenth.

-2x2+11x+3=-3x2

-0.3, -10.7

300

Find the vertex of y=5x^2 + 2x - 2

(-1/5,-11/5)

400

A football is punted into the air. Its height h, in meters, after t seconds is given by the equation: 

h=-4.9t2+24.5t+1

After how many seconds does it hit the ground. Round to the nearest whole second.

5 

400

A parabola has zeros at x = {-4, 10} and opens down.  Write an equation for this parabola in standard form.  

y=-x2+6x+40

400

Write the following quadratic in vertex form by completing the square: x2 + 10x +16 = y

y=(x+5)2-9

400

Solve the following quadratic equation by using the quadratic formula: 2x2 - 7x = 5

x = (7+-√ (89) )/4

400

Find the vertex of y=3(x+8)(x-2)

(-3,-75)

500

A football is punted into the air. Its height h, in meters, after t seconds is given by the equation: 

h=-4.9t2+24.5t+1

What is its maximum height?  Include units!!

31.625 meters

500

A parabola has roots/zeros at 5 and -5 and has a y-intercept at -125.  Write the equation of the parabola in standard form.



y=5x2 - 125

500

Solve the following quadratic equation by completing the square: 2x2 - 8x = 10

x = 5 x = -1

500

write the quadratic formula with two separate terms

500

Find the y=-5(x-500)2+1000

(500,1000)
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