Algebra 2 Quadratics Preparation

Standard Form

100

Solve: x² + 2 = 83

x = {-9, 9}

200

What is the quadratic formula?

x = (-b±√(b2 - 4ac))/2a 

300

Solve: 2x²-x-10

-2, 5/2

400

Solve: 3x²+7x-5=0

(-7±√109)/6

500

Solve by completing the square: 2x²+8x=24

-6, 2

Vertex Form

100

What is vertex form?

y = a(x-h)²+k

200

Find the vertex:

y+1 = 2(x-6)²

Vertex: (6, -1)

300

Find the roots of this equation:

y = (x-1)²+4

x = {1+2i, 1-2i}

400

Find the minimum value:

y+1 = 3(x-5)²

Minimum: (5, -1)

500

Solve: y = 2(x+6)²-2

x = {-4, -6}

Imaginary and Complex Numbers

100

What is "i" equal to?

What is "rad-1?"

200

Solve: √-75

5√(3)i

300

i¹²⁶

-1

400

Solve: (4-7i)-(-3+i)

7-8i

500

Solve: (5+9i)(5-9i)

106

Graphing

100

The vertex of: -2(x-3)²+8

(3,8)

200

The AOS of: -2(x-3)²+8

x=3

300

The y-intercept(s) of: 

-2(x-3)²+8

-10

400

The x-intercepts of: 

-2(x-3)²+8

1, 5

500

The vertex of: 1/3x²-6x+7

(9,-20)

Miscellaneous

100

How many roots does the equation have: 

y=7x²-15x+6

2

200

Find the value of k so that the equation has 1 real root: 2x²-4x-k

-2

300

Convert to vertex form:

y = 3x²+12x-5

y = 3(x+2)+7

400

Convert to standard form: 5(x-2)²+12

5x²-20x+32

500

Convert to vertex form: 

2x²-8x+10

2(x-2)²+2