Quadratics

Solving by Factoring

100

solve: x^2-9x+14

x=2 x=7

200

solve: x^2-4x=45

x=-5 x=9

300

solve: x^2+9x+18

x=-6 x=-3

400

solve: x^2+3x=8x+24

x=8 x=-3

500

solve: x^3+2x^2-9x-18=0

x=-2 x=-3 x=3

Completing the Square

100

solve: x^2+12x+32=0

x=-4 x=-8

200

(x-2)^2=25

X=7 X=-3

300

solve: (x-5)^2=29

x= 5 + square root of 29 AND x= 5 - square root of 29

400

solve: 3x^+24x+12=0

x= -4+or- 2square root3

500

solve: x^2=12x-20

x=10 x=2

Quadratic Formula

100

what is the equation for the quadratic formula

x=-b+or-square root b^2-4ac/2a

200

solve using the quadratic formula: 2x^2-8x-24=0

x=6 x=-2

300

solve using the quadratic formula: 2x^2= 4x+1

2+or-the square root of 6 / 2

400

solve using the quadratic formula: x^2-4x+5=0

x=2 +or- i

500

solve using the quadratic formula: 2x(x+2)=3

x=-1 +or- square root of 10/2

Solving by Taking Square Roots

100

x^2=4

x= +or- 2

200

x^2=25

x= +or- 5

300

x^2=49

x= +or- 7

400

6x^2+6=102

x+ +or- 4

500

x^2+4=0

x= +or- 2i

Transformations of Graphs

100

y=f(x) to y=f(x-2)

moved to the right 2 

200

y=f(x) to y=-1f(x)

y coordinates are all negative, they are multiplied by -1

300

y=f(x) to y=f(x)-1

moved down 1

400

y=f(x) to y=3f(x)

y coordinates are multiplied by 3

500

y=f(x) to y=4f(x)

y coordinates multiplied by 4