Key Features and Vocabulary
Graphing Square Root Functions
Transformations of Square Root Functions
Solving Square Root Equations
Useless Trivia
100

In the formula

a√(x-h)+k

This variable, when negative, is responsible for reflections across the x-axis 

What is a?

100
The name of the first point we should put in our table when graphing a square root function. It is the point where the graph originates.

What is the origin point?

100

The a,h, and k values in the square root function

-3√(x+4)+3

What are -3, -4, and 3?

100

What is the inverse operation of square rooting?

Squaring

100

This seasoning is also used as a currency in some parts of the world

What is salt?

200

In the formula  a√(x-h)+k , this variable moves the function left and right. 

What is h?

200

The origin point of a square root function is always comprised of which variables, taken from the function  a√(x-h)+k ? Please give your answer in the form of an (x,y) coordinate pair.

What is (h,k)?

200

The square root function with the following a, h, and k values:


a= 4, h = 2, k = -10

What is 

4√(x-2)-10

200

Solve for x:

√x=4

What is 16?

200

The lifespan of a dragonfly is...

What is a 24 hours?

300

In the formula  a√(x-h)+k , this variable moves the function up and down

What is k?

300

The two buttons to press on the TI-84 calculator in order to pull up the square root symbol

What are 2nd and x2?

300

The square root function that has been shifted 2 units right and 7 units up from the parent function

What is 

√(x-2)+7

300

Solve for x: 

√(x-5)=2

What is 9?

300

A snail can sleep this long

3 years

400
If the absolute value of our a value is greater than 1, the following transformation occurs

What is a vertical stretch?

400

The domain (x-values) and range (y-values) of any square root function will contain values from which point in the function?

What is the origin point?

400

The square root function that has been reflected over the x-axis, vertically compressed by a factor of -2/3, horizontally shifted left 3 units, and vertically shifted up 7 units

What is 

-2/3√(x+3)+7

400

Solve for x:

-3√(x+2)-7=-22

What is 23?

400

There’s a city called “Rome” on every continent except...

Antarctica

500

If the absolute value of our a value is less than 1, the following transformation occurs

What is a vertical compression?

500

What is the most common mistake people make when trying to graph a square root function in a TI-84 calculator?

What is forgetting to put the k value outside of the square root symbol?

500

The square root function given the following graph. It has not been stretched or compressed. 

What is 

√(x+4)-2

500

Solve for x:

√(2x+3)-√(x+8)=0

What is 5

500

This famous author invented the word "NERD"

Who is Dr. Seuss?