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

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

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

Remember transformations Translations Reflections Vertical Stretches and Shrinks

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.

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

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

You can write the domain and range for these functions!

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.

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

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

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