Algebra II Summer 2024

What type of function am I?

100

I am a straight line

Linear function

200

I am a parabola (a big 'u')

Quadratic

300

I am the positive machine, and look like a 'v'

Absolute value

400

y = 3(2)^x

Exponential

500

y = 2x² - 5x³ - 10

Cubic

Write the equation

100

A quadratic function moved down 1

y = x² - 1

200

An absolute value function flipped upside down

- |x|

300

A cubic function moved right 3 and up 4

y = (x - 3)³ + 4

400

A square root function flipped horizontally and moved left 7

y = sqrt(-(x + 7))

500

A quadratic function stretched vertically by a factor of 4, moved right 1, and down 9

y = 4(x - 1)² - 9

Imaginary numbers

100

What is i?

The square root of -1

200

Find all solutions for:

3x² - 4 = -31

3i and -3i

300

Find all solutions for:

2x² - 8=4x²

2i and -2i

400

Simplify i⁶

-1

500

Find all solutions for:
-4(x-2)² - 3=97

5i+2 and -5i+2

Exponential functions

100

There are 3 dragons living in Winooski. Each year, the total number of dragons doubles. Write an equation to match the situation.

y = 3(2)^x

200

You open a bank account and deposit $500. You earn 3% in interest every year. Write an equation to match the situation.

500(1.03)^x

300

You buy a car for $29,000. Every year, it loses 10% of its value. Write an equation to match the situation.

y=29,000(0.9)^x

400

Solve 4^x - 7 = 57

x = 3

500

Solve 3(2^x) + 6 = 390

x = 7

Pets

100

What is Stuti's dream pet?

Husky

200

What is Deene's dream pet?

Koala

300

What is Victoria's dream pet?

Dragon

400

What is Moo Thay's dream pet?

Sloth

500

What is Barwaaqo's dream pet?

Butterfly exhibit