Algebra II Summer 2026

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

Fill in the blank: The function y = 100(1.09)^x indicates ______% growth.

9

500

Fill in the blank: The function y=100(0.72)^x indicates _______% decay.

28

Sequences and series

100

Is the sequence -12, 11, 34 arithmetic or geometric?

Arithmetic

200

Fill in the blank in the sequence:

100, _______, 64, 51.2

80

300

Write an equation for the sequence:

4, 2, 0, -2, ...

y = -2(n - 1) + 4

400

Write an equation for the sequence:

-4, 6, -9, ...

y = -4(-1.5)^n-1

500

324+291.6+262.44+236.196+... = ?

3240