Quadratics/Roots/Complex #'s Review

Identifying Quadratics

100

The graph of a quadratic equation looks like this

What is a parabola

200

When the "a" value is positive

What is an upward parabla

300

The domain of a parabola

What is all real numbers

400

The equation of a quadratic in standard form

What is ax²+bx+c

500

The equation of a quadratic in vertex form

y=a(x-h)²+k

Characteristics of Quadratics

100

Vertical line that divides a parabola into two symmetrical halves

What is axis of symmetry

200

The formula to find the axis of symmetry

What is x=-b/2a

300

Finding the vertex

What is find the axis of symmetry (-b/2a), then substitute the value in for x to find the y value, and write as an ordered pair

400

The y-intercept of a quadratic function

What is the "c" value in the equation

500

When graphing a parabola and the "a" is 1 or -1 you can use this

What is the 1,3,5 rule

Square Roots

100

Simplify. -8 roots of 112

-32 roots of 7

200

-3 roots of 15 * 4 roots of 3

-36 roots of 5

300

  5              

4-2 roots of 3

20 +-10 roots of 3

   4

400

Solve.  4(x-6)²=100

x=11, or x=1

500

Solve. (g-5)²+4=53

g=12 or g=-2

Factor/Solve

100

y=r²-8r-20

(r-10)(r+2)

200

9n²+24n+16

(3n+4)(3n+4)

300

Solve. x²+10x=5+6x

x=-5, x=1

400

Solve. 5x²-24=14x

x=4, x=-6/5

500

Factor. 12r²+38r-14

2(2r+7)(3r-1)

Complex Numbers

100

Solve. x²=-81

x=+-9i

200

Simplify. (-2+3i) + (5-2i)

3+i

300

Simplify. (2-i)(-3+6i)

15i

400

Simplify.    5+2i

                  4i

20i-8

 -16

500

Simplify.    3i

               -2-i

-6i+3

   5