Square Root Functions and Geometry Chapter 10 Square Root Functions and Geometry

10.1Graphing Square Roots

Model Graph of a Square Root Use a x, y table to graph it

The Graphs We Know

Domain of a Square Root Function Radicand cannot be negative Set the radicand ≥ 0 Solve for x

Shifts in Square Root Graphs Vertical Shift: *Notice K is NOT under the square root *Move the graph up k units if positive *Move the graph down k units if negative

Explain the Shift Move the graph 6 units down

Shifts in Square Root Graphs Horizontal Shifts: Right h units: Left h units: Notice it is all under the square root sign

Explain the shift of Five units to the left

Compare the graph of Under the x axis Translate one unit to the left Translate 3 units down

10.1 Extension Rationalizing the Denominator

A radical is simplified when: The radicand contains no perfect square factors. A fraction cannot have a radical in the denominator. Radicand cannot include a fraction.

Rationalizing the denominator YOU CAN NOT HAVE A RADICAL IN THE DENOMINATOR!! To get rid of it multiply by the radical over itself

Examples

Example

Example

Example:

Example:

Conjugates

Assignment: RPJ: Page 268 (1-7) all TB: Page 508 (1-9,11-13) all