Algebra 2 Quadratic Review

Miscellaneous

100

Describe the transformation: f(x)=(x-8)²

Shifted right 8

200

Describe the transformation: f(x)=(x+17)² -13

Shifted left 17 and down 13

300

Describe the transformation: f(x)=2(x-3)² +5

Vertical stretch of 2, right 3, and up 5

400

Multiply: (3w+7)(2w-4)

6w²+2w-28

Solving by Factors or Square Roots

100

Solve for x: 4x² = 400

x = 10 & -10

200

Solve for x: 3x² -18 = 57

x = 5 & -5

300

Solve for x: x² -10x +16 = 0

x = 2 & 8

400

Solve for x: x² -4x -45 = 0

x = 9 & -5

500

Solve for x: 2x² -28x +48 = 0

x = 12 & 2

Complex Numbers

100

i³⁹ = ???????????????

-i

200

Sq. Root of -64

+/- 8i

300

(4+2i) - (7-12i)

-3+14i

400

(3+2i)(5+4i)

7+22i

500

(16+14i)(27-7i)

530+266i

Completing the Square

100

Find the value of C that completes the square: 

x² +10x +c

c = 25

200

Find the value of C that completes the square: 

x² -26x +C

C = 169

300

Complete the square and solve for x: x²+6x+3=0

x = -3 +/- sq.rt. 6

400

Complete the square and solve for x: x² -10x+7=0

x = 5 +/- 3sq.rt.2

500

Complete the square and solve for x: 

x² +12x +8 = 0

x = -6 +/- 2 sq.rt. 7

Quadratic Formula

100

Solve using the quadratic formula: x² -14x +49 =0

x = 7

200

x² -4x +3 =0

x = 3 & 1

300

x² +121 = -22x

x = -11

400

Find the discriminant, say what type of answers you will get, and then solve. x² +12x +36

0; one real: x=-6

500

Find the discriminant, describe your roots, then solve: x² -x +6 = 0

-23; two imaginary: x = (1+/- i sq.rt. 23)/2