## Graphing Square and Cube Roots

#### Aligned To Common Core Standard:

**High School Interpreting Functions** - HSF-IF.C.7b

How to Graph Squares and Cube Roots Have you ever seen a graph being made of a basic root? They are fairly simple. You have to connect the dots accordingly, involving either the square root of the cube root. First, you need to know what is a basic square root. A basic square root is a function that has a variable under the square root. Similarly, a cube root is a variable associated with it. The basic functions of these roots are denoted by √(x) and 3√(x). These functions can be graphed by finding certain points that can satisfy every single function., plotting and connecting the dots. In order to graph a basic square or cube root function, you can use the following steps: 1. Start by identifying the algebraic operations in terms of their corresponding transformations. 2. Now you take the graph of the basic function and based on their relative transformations in order horizontal, reflections, shrinking/stretching, vertical. A selection of worksheets and lesson that shows students how to create and read a graph of a square or cube root.

### Printable Worksheets And Lessons

- A Graphed Square Root Step-by-step Lesson- What is the equation for the graph?

- Guided Lesson - This includes graphing, equation solving, and graph interpretations.

- Guided Lesson Explanation - One and three are really long problems. Number two is only a line or two.

- Practice Worksheet - Students have the most difficulty with the equation deciphering.

- Matching Worksheet - I tried to write a nice review problem for students here.

#### Homework Sheets

Cubes are a bit uncommon in the real world. You will see many more use of the squares.

- Homework 1 - Solve the given linear functions f(x) = √ x2 +5 and the draw graph for the given function.
- Homework 2 - We find the plotting points of the given inequality equation.
- Homework 3 - We are going to find out the plotting points for given equation. In the first step, we are going to change equation in the form of y = mx+c.

#### Practice Worksheets

These questions build as you continue through them.

- Practice 1 - Solve the given linear functions f(x) = x+5+3 and the draw graph for the given function.
- Practice 2 - What is the equation of the square root function in the graph below?
- Practice 3 - Not simple, but it can be done.

#### Math Skill Quizzes

We ask you to draw functions and then interpret them.