Quadratics & Complex Numbers

Factoring

100

Solve by factoring x² + 6x + 8 = 0

x= -4, x= -2

200

Solve by factoring x² - 6x + 5 = 0

x = 1, x = 5

300

Solve by factoring x² - 2x - 24 = 0

x = -4, x = 6

400

Solve by factoring 3x² + 11x - 4 =0

x = -1/3, x = 4

500

Solve by factoring 6x² + x - 12 = 0

x = -3/2, x = 4/3

Imaginary Numbers

100

What does "i" stand for?

imaginary number

200

What is the value of "i²" equal to?

-1

300

What does a complex number consist of?

A real part and an imaginary part

400

"i" occurs when you have the square root of what number?

-1

500

What does the graph of a quadratic look like if the solution is a complex number?

It does not cross the x-axis.

Adding & Subtracting

100

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

8+9i

200

(2-3i) + (6+7i)

8+4i

300

(6+7i) - (3+5i)

3+2i

400

(8+i) - (-2-2i)

10+3i

500

2(-6-i) - (-5-4i)

-7-2i

Simplify&Multiply

100

Simplify SQRT -100

10i

200

Simplify SQRT -84

2i SQRT 21

300

Simplify 4i(2-9i)

36 + 8i

400

(2+2i)(4+i)

6 + 10i

500

(2+3i)(2-3i)

13

Vertex Form

100

Rewrite in vertex form -x² + 4x - 1

and Identify the Vertex.

y= - (x - 2)² + 3

V(2,3)

200

Which value in vertex form graphs in the opposite direction of the sign?

"h" the horizontal shift

300

List the transformations. y = - 1/3 (x - 7)² + 4

Reflect over the x axis

Vertical Shrink(compression) by 1/3

7 Right

4 Up

400

What part of the equation shifts the graph vertically?

"k" 

500

Rewrite in vertex form and identify the vertex.

3x² + 12x + 12

y = 3(x + 2)²

V(-2,0)