Explore

In the last lesson, you learned to graph radical functions by creating an x-y table and plotting points. You will apply some of that knowledge in this lesson as well as how the graph was translated from the parent graph. Remember that a parent graph is the graph of a function in standard form. For example, the standard form of a radical function is y = √ x  and the parent graph is shown below. Parent graphs will always have (0, 0) as a point on the graph and most commonly as the vertex.

Explore Activity:

Before beginning the lesson, use Geogebra - Translating Radical Functions to complete 7.04 Exploring Translating Radical Functions.

Note: You will be asked to submit this worksheet during the Task portion of the Lesson. 

 

Following successful completion of this lesson, students will be able to:

  • Relate the domain of a function to its graph.
  • Graph square root functions.
  • Identify the effect on the graph of replacing f(x) by f(x) + k, f(x + k) for specific values of k.

The above objectives correspond with the following Alabama Course of Study: Algebra I Objectives: 29, 31b & 36.

 

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