QUADRATICS TEST REVIEW

Vertex/A.O.S.

100

Identify the Vertex:

y=(x+3)²-6

(-3,-6)

200

Identify the Vertex:

y=x²-2x-5

(1,6)

300

Identify the Vertex:

y=-x²-4x+1

(-2,5)

400

Identify the Vertex:

y=-3(x+1)(x-5)

(2,27)

500

Identify the Axis of Symmetry:

y=3x²+12x-8

x= -2

Factoring

100

Factor:

y=x²-4x+4

y=(x-2)(x-2)

or

y=(x-2)²

200

Factor by Completing the Square:

x²+6x=-2

(x+3)²=7

300

Factor using Difference of Squares:

3x²-48

3(x+4)(x-4)

400

Factor using Grouping:

25x³+5x²+30x+6

(5x²+6)(5x+1)

500

Factor the sum of cubes:

2x³+128y³

2(x+4y)(x²-4xy+16y²)

Solving

100

Solve:

(x+1)(x-5)=0

x=-1

x=5

200

Solve:

x²+7x+15=5

x=-5

x=-2

300

Solving using Square Roots:

x²+7=88

x=9

x=-9

400

Solve using the Quadratic Formula:

x²=-3x+40

x=5

x=-8

500

Choose the best method for solving:

10x²+6=3+9x

Quadratic Formula

Complex Numbers

100

Add:

(5+6i)+(2-7i)

7-i

200

Subtract:

(-1+i)-(-7+4i)-5

1-3i

300

Simplify:

5i+7i(i)

-7+5i

400

Multiply:

(7i)[3i(-8-6i)]

168+126i

500

Divide:

a/(ib)

-(ia)/b

Discriminant

100

Determine the Discriminant:

-4x²-3x+3=-6

153

200

Determine the Discriminant:

-4x²-3x+14=4

169

300

How many solutions does the following function have:

2x²+2x-6=-6

two

400

What type of solution does the following function have:

-x²+4x-10=-6

one real solution

500

Find the discriminant.  How many and what type of solutions does the following function have?

-5x²+x+1=6

-99

two complex solutions