Quadratics Review

Solving 1

100

Setting a quadratic equation equal to 0 and solving the equation will help you find the _____ intercepts.

X

200

0 = 3x² - 12

x = 2, -2

300

4x² + 16 = 8

NRS

400

3(x - 5)² - 10 = 14

x = 7.82, 2.18

500

-(x + 6)² - 8 = -12

x = -4, -8

Solving 2

100

x² - 7x + 3 = 11

x = 8, -1

200

4x² - 4x + 1 = 6x² + x -24  

x = -5, 5/2

300

3x² = 4x

x = 0, 4/3

400

x² + 7x - 3 = 0

x = .41, -7.41

500

3x² - 5x + 2 = 7 - x² + 2x

x = 2.29, -.55

Graphing 1

100

Find the vertex of the equation:

f(x) = -3(x + 2)² - 5 

(-2, -5)

200

State the domain of the equation:

f(x) = -2(x + 1)² - 6

All Real

300

State the axis of symmetry of the equation:

f(x) = (x + 3)²

x = -3

400

On what interval is the function increasing?  

f(x) = 2(x - 1)² - 7

x > 1

500

Find the vertex of the equation:

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

(-.5, -6.25)

Graphing 2

100

Is the parabola opening up or down?

f(x) = -2x² - 7x + 3

Down

200

Is the vertex a minimum or a maximum?

f(x) = 2x - x² - 4

Maximum

300

Find the vertex of the parabola:

g(x) = -3x² - 8x + 2 

(-1.33, 7.33)

400

Find the range of the function:

f(x) = 3x² - 6x + 8

y >= 5

500

Change the equation into vertex form:

f(x) = 2x² - 6x + 3 

f(x) = 2(x - 1.5)² - 1.5 

Random

100

A ball is thrown such that it's height is modeled by the equation  H(t) = -16t² + 82t + 7.

What is the meaning of the 7?

The initial height from which the ball was thrown.

200

A ball is thrown such that it's height is modeled by the equation H(t) = -16t² + 82t + 7.

What is the maximum height the ball will reach?

112.06 ft

300

Find the solution to the system:

y = 3x² - 6x + 1

x = 3

(3, 10)

400

Find the solution to the system:

y = x² - 6x + 3

y = x + 11

(8, 19)   and  (-1, 10)

500

The height of a thrown ball is modeled by the equation:

H(t) = -16t² + 142t + 3

At what times is the ball 100 ft in the air?

8.13 and .75  seconds