Algebra 2 - Quadratics Review

Find the Vertex

100

Find the vertex. y = -3(x+2)² - 10

(-2, -10)

200

Find the vertex. y=x²+10x+16

(-5, -9)

300

Find the vertex. y-5=4x²+8x-3

(-1, -2)

400

Find the vertex. y=-7x²-15x+21

(1.07, 29.04)

500

Find the vertex by completing the square:

2x²+12x+22

y=2(x+3)²+4

Factoring

100

Solve by Factoring: 0=x²+7x+12

(x+3)(x+4) ==> x = -3, -4

200

Solve by factoring. y=25x² - 36

(5x+6)(5x-6) ==> x=6/5 , -6/5

300

Solve by factoring: 3x²+10x-5=3

(3x-2)(x+4) ===>2/3, -4

400

Factor completely y=12x²-27

3(2x-3)(2x+3)

500

Solve by Factoring. 6x²-39x-45=0

3(2x-15)(x+1) ====> (x= 15/2, -1)

Completing the Square

100

Solve by completing the square. x²+6x-5=0

x= -3± √ 14 

200

Solve by completing the square. 2x²-16x+1=-1

x = 4± √ 15 

300

Convert to vertex form by completing the square. f(x)=x²-4x+13

f(x)=(x-2)²+9

400

Convert to vertex form by completing the square. f(x)=-3x²-18x-7

f(x)=-3(x-3)²+20

500

Convert to vertex form by completing the square: f(x) = 2x²-5x+8

f(x)=2(x-1.25)²+4.875

Quadratic Formula

100

Solve by the quadratic formula. x²-5x-1=0

x= (5± √ 33  )/2

200

Solve by the quadratic formula. f(x) = 2x²-6x-3=4

x= (3± √ 23  )/2

300

Solve by quadratic formula. 3x² - 2= - 5x

x= -2, 1/3

400

Solve by quadratic formula. 5k²+1=6-18k

x= (-9± √ 106  )/5

500

The roots of the following equation, x²+6x+36

x=3+3iroot(3)

x=3-3iroot(3)

Bonus

100

The capital of China

Beijing

200

Beyonce's first number-one single

Crazy in Love

300

How long would it take to drive to Los Angeles, California from here?

About 2 days

400

What is the closest planet to the sun?

Mercury

500

Who is the fastest man in the world?

Usain Bolt