Show:
Complex Numbers
Solving Quadratics
Forms of Quadratics
Graphs of Quadratics
Potpourri
100

Simplify: (8-2i)(-3+4i)

What is -16 + 38i?

100

Solve the following by factoring:
15x2 + 6x - 9 = 5x - 7

What is x = -2/5 and 1/3?

100

Convert  to vertex form: y = 2x2 + 12x + 10

What is 2(x+3)2 - 8? 

100

What is the value of the discriminant and what does this mean about the roots?

f(x) = 9x2 - 6x + 1

What is 0? There is one real rational root.

100

I fall in the winter but I never get hurt.  What am I?

Snow

200

Simplify: (12 + 4i) - (5 - 2i)

What is 7 + 6i?

200

Solve by square roots:

2x2 - 5 = 19

x=+/-2 sqrt 3

200

Convert this function to standard form: 

f(x) = -3(x + 1)2 - 12

What is -3x2 - 6x - 15?

200

What is the equation of a quadratic function that has a vertex of (-2,-10) and has no real zeros

What is f(x) = - (x + 2)2 - 10? 

*Any negative a value is okay) 

200

When is the Winter Solstice this year?

Sunday, 12/21

300

Simplify i42

What is -1? 

300

Solve by completing the square:

x2 + 6x + 10 = 0

x = -3 +/- i

300

Write a quadratic equation in factored form that has real zeros at (-5,0) and (1/3, 0) using integers.

(x + 5)(3x - 1)

300

Write the function in factored and standard form (with integer coefficients) that has roots of: (-2/3, 0) and (6, 0)

What is: 

Factored Form: (3x+2)(x-6) 

Standard Form: 3x2 - 16x - 12 ?

300

What is the special candle holder used during Hanukkah called?

A menorah

400

Simplify: 6 - (3i - 2)

8 - 3i

400

Solve: 3x2 + 4x + 7 = 0

What is x = (-2 plus or minus i root 17)/3? 

400

Write a quadratic equation in standard form with integer coefficients that has real zeros at -3 and 7/2.

2x2 - x - 21

400

Describe how the graphs of f(x) = 1/2(x - 3)2 + 4 is different from the parent function f(x) = x2? 

What is: shifted right 3 units, up 4 units, wider by a factor of 1/2? 

400

What are the names of the burglars in Home Alone?

Harry & Marv

500
Find the value of |3 + 5i|

sqrt 34

500

Solve:

26x2 - 17x = 5 + 20x + 2x2

x = -1/8 and x = 5/3

500
Write BOTH the vertex & factored form of the standard form equation:

f(x) = 2x2 + 4x - 16

Vertex Form:  2(x + 1)2 - 18

Factored: 2(x + 4)(x - 2)

500

If y = 2x^2+9x - 7, what is the line of symmetry?

What is x = -2.25?

500

Which Christmas movie was released in June but became a holiday classic anyway?

a. Elf

b. Miracle on 34th Street

c. It's a Wonderful Life

Miracle on 34th Street (b)