1. Section 5.3 Graphing Radical Functions
Honors Algebra 2
Section 5.3
Graphing Radical Functions

2. With a partner, match the graphs in Exploration #1 and #2 on page 251.

3. The Parents! Square Root Function Cube Root Function
Radical Function-contains a radical
expression with the independent
variable in the radicand
Square Root Function Cube Root Function

4. Remember transformations
Translations
Reflections
Vertical Stretches and Shrinks

5. Graphing Parabolas that are not functions!
When the y is squared and x is not, the parabola has a horizontal axis of symmetry.
The equation has to be entered as two equations in the calculator.

6. To graph a parabola with a horizontal axis of symmetry, solve for y.
This will involve taking the square root.
Enter the equation with the positive radical in as 𝑦 1
Enter the equation with the negative radical in as 𝑦 2
𝑦 2 +10=𝑥−1

7. Graph the following
Name the vertex and state the direction that the parabola opens. How many points are needed when graphing? #1 1 3 𝑦 2 =𝑥 #2 5− 𝑦 2 =−𝑥+12 #3 −4 𝑦+1 2 =−2𝑥

8. You can write the domain and range for these functions!

9. Calculator Graphing
When you set your window from -10 to +10 for x and y, your window is distorted because your window on the calculator is a rectangle.

10. Graphing a circle with Center at the Origin
Again, you will need to solve for y.
You need to enter two equations.
Press ZOOM #5 to have evenly spaced increments so your circle doesn’t look like an oval.
Graph 𝑥 2 + 𝑦 2 =9

11. When you graph a circle with a center at the origin, you can name the radius and the x and y-intercepts.

12. Assignment #22
Pg. 256 #3-8, 9,13,16,27,29,31,33,59-61