Algebra II-Quadratics

Transformations

100

y = 3x²

Describe the transformation

Vertical stretch by 3

200

y = 5x³ - 4

Describe the transformation

Vertical stretch by 5, down 4 units

300

y = (x - 8)³ + 3

Describe the transformation

Shift 8 units to the right, 3 units up

400

y = -(x + 5)²

Describe the transformation

Reflection over the x-axis, shift 5 units to the left

500

y = 5/7 (x - 10)² + 3

Describe the transformation

Vertical compression by 5/7, horizontal shift of 10 units to the right and 3 units up

Parent Functions

100

What is the equation for the quadratic parent function?

y=x²

200

Draw the graph for y=x³

Cubic Function

300

y = a |x ± h| + k

What does 'a' represent?

Slope, vertical stretch/compression, and reflections

400

y = a |x ± h| + k

What does 'h' represent?

Horizontal shift of 'h' spaces

500

y = a |x ± h| + k

what does 'k' represent?

Vertical shift of 'k' spaces

Inverse

100

State if the given functions are inverses. 

1. f(x) = -4x

2. g(x) = -6x - 1

No

200

Find the inverse of the linear function

f(x) = 6x - 8

f^-1(x) = x/6 + 4/3

300

Find the inverse

f(x) = (x+6)²

f^-1(x) = sqrt(x) - 6

400

Find the inverse

f(x) = (x-10)² - 7

f^-1(x) = sqrt(x+7) + 10

500

Find the inverse

f(x) = -(x+17)³ + 63

f^-1(x) = cuberoot(x+63) -17

Simplifying

100

Convert to Radical Form

x^5/9

Radical Form

200

Convert to Radical Form

x^6/7

Radical Form

300

Simplify

100^1/2 

10

400

Factor 

x² - 7x + 10

(x-2) (x-5)

500

Factor

x² - 11x + 24

(x-3) (x-8)

Miscellaneous

100

WHO LIVES IN A PINEAPPLE UNDER THE SEA?

SPONGEBOB SQUAREPANTS

200

Is the following a function? 

(-3, 6), (-1, -1), (0, -1), (-1, 15), (3, 0)

No

300

The form of a fusion between Vegeta and Goku.

Gogeta

400

In Harry Potter and the Prisoner of Azkaban, what creature does Sirius Black transform into?

A Dog

500

Name the missing dwarf from the movie "Snow White and the Seven Dwarfs"

Doc, Happy, Sleepy, Grumpy, Sneezy, Dopey, and ________

Bashful