Quadratics

Factoring

100

x²+5x=0

x=-5 and x=0

200

k²+12k-45=0

k=-15 and k=3

300

b² + 8b + 7

b = -7

b = -1

400

a² + 11a + 18

a = -2

a = -9

500

n² − n − 56

n = -7

n = 8

Quadratic Formula

100

-9x^2-6x-1=0

x=-1/3

200

b² − 4b + 4 = 0

b = 2

300

x²+ 4x + 3 = 0

x=-1

x = -3

400

5x² = 80

x = 4

x = -4

500

x² + 2x − 1 = 2

x = 1

x = -3

Converting

100

Convert from Vertex to Standard Form:

y= (x+2)²

y=x²+4x+4

200

Convert from Vertex to Standard Form:

y= (x-3)²+2

y= x²-6x+11

300

Convert from Vertex to Standard Form:

y=2(x-1)²+3

y= 2x²-4x+5

400

Convert from Standard to Vertex Form:

x²-6x+12=y

y = 1(x-3)²+3

500

Convert from Standard to Vertex Form:

-x²-8x+13=y

y= -1(x+4)²+29

Find the vertex

100

(x-2)² -43= y

(2,-43)

200

y = (x-4)²+25

(4,25)

300

y=2(x+3)²+4

(-3,4)

400

2x²+4x-20=y

(-1,-22)

500

3x² -108= y 

(0,-108)

Any Method

100

 x²+5x+6 = 0

x = -3

x =-2

200

x²-3x-10 = 0

x = 5

x = -2

300

x²-18x+45 = 0

x = 15

x = 3

400

3x²+3x-x-1 = 0

x = 1/3

x = -1

500

11x²+18x+7 = 0

x = -1

x = -7/11