Algebra 2 6-8 Complete Lesson: Graphing Radical Functions

Last updated about 4 years ago

25 questions

Note from the author:

A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU. 

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Algebra 2 6-8 Complete Lesson: Graphing Radical Functions

Algebra 2 6-8 Complete Lesson: Graphing Radical Functions

Solve It!

Solve It! Response & Explanation

Problem 1 Got It? Graph the parent square root function and the two translations in the same plane. Notice how the translations relate to the parent function, to their graphs, and to one another. Zoom and pan your graph to establish an appropriate viewing window.

Problem 2 Got It? Graph the parent square root function and the two translations in the same plane. Notice how the translations relate to the parent function, to their graphs, and to one another.Zoom and pan your graph to establish an appropriate viewing window.

Problem 3 Got It? Graph the parent square root function and the two translations in the same plane. Notice how the translations relate to the parent function, to their graphs, and to one another.Zoom and pan your graph to establish an appropriate viewing window.

Problem 5 Got It? Graph the parent cube root function and the translation in the same plane. Notice how the translation relates to the parent function and to its graph. Zoom and pan your graph to establish an appropriate viewing window.

Problem 6 Got It? How can you rewrite the cube root function below so that you can graph it using transformations. Describe the graph.

Problem 6 Got It? Reasoning: Describe the graph of y = |9x - 18| by rewriting it in the form y = a|x - h|. How is this similar to rewriting the square root equation below (from Problem 6)?

Writing: Explain the effect that a has on the graph of the function.

Review Lesson 6-7: Identify the inverse of each function on the right and state whether the inverse is also a function.

Review Lesson 6-2: Rationalize the denominator and simplify to write the number in simplest form.

Review Lesson 4-7: Write the common form of the quadratic formula. Hint: It shoud be in this format: x = [insert correct rational expression here].

Review Lesson 4-7: Solve using the quadratic formula. Show your work on the canvas.

Review Lesson 4-7: Solve using the quadratic formula. Show your work on the canvas.

Review Lesson 1-3: Evaluate the expression for the given value of x. Enter only a number.

Review Lesson 1-3: Evaluate the expression for the given value of x. Enter only a number.

Review Lesson 1-3: Evaluate the expression for the given value of x. Enter only a number.

Vocabulary Review: Categorize each pair of figures based on whether or not they appear to show a translation.

Use Your Vocabulary: Fill in each blank on the right with the correct form of either vertical or horizontal.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.For a refresher on the Cornell note-taking system, click here.

Reflection: Math Success

Solve It!

Solve It! Response & Explanation

Problem 1 Got It? Graph the parent square root function and the two translations in the same plane. Notice how the translations relate to the parent function, to their graphs, and to one another. Zoom and pan your graph to establish an appropriate viewing window.

Problem 2 Got It? Graph the parent square root function and the two translations in the same plane. Notice how the translations relate to the parent function, to their graphs, and to one another.Zoom and pan your graph to establish an appropriate viewing window.

Problem 3 Got It? Graph the parent square root function and the two translations in the same plane. Notice how the translations relate to the parent function, to their graphs, and to one another.Zoom and pan your graph to establish an appropriate viewing window.

Problem 4 Got It? You can model the population P of Corpus Christi, Texas, between the years 1970 and 2005 by the radical function below. Using this model, in what year was the population of Corpus Christi 275,000?The Desmos graphing utility is embedded below for your convenience.

Problem 5 Got It? Graph the parent cube root function and the translation in the same plane. Notice how the translation relates to the parent function and to its graph. Zoom and pan your graph to establish an appropriate viewing window.

Problem 6 Got It? How can you rewrite the cube root function below so that you can graph it using transformations. Describe the graph.

Problem 6 Got It? Reasoning: Describe the graph of y = |9x - 18| by rewriting it in the form y = a|x - h|. How is this similar to rewriting the square root equation below (from Problem 6)?

Writing: Explain the effect that a has on the graph of the function.

Review Lesson 6-7: Identify the inverse of each function on the right and state whether the inverse is also a function.

Review Lesson 6-2: Rationalize the denominator and simplify to write the number in simplest form.

Review Lesson 4-7: Write the common form of the quadratic formula. Hint: It shoud be in this format: x = [insert correct rational expression here].

Review Lesson 4-7: Solve using the quadratic formula. Show your work on the canvas.

Review Lesson 4-7: Solve using the quadratic formula. Show your work on the canvas.

Review Lesson 1-3: Evaluate the expression for the given value of x. Enter only a number.

Review Lesson 1-3: Evaluate the expression for the given value of x. Enter only a number.

Review Lesson 1-3: Evaluate the expression for the given value of x. Enter only a number.

Vocabulary Review: Categorize each pair of figures based on whether or not they appear to show a translation.

Use Your Vocabulary: Fill in each blank on the right with the correct form of either vertical or horizontal.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.For a refresher on the Cornell note-taking system, click here.

Reflection: Math Success

Problem 4 Got It? You can model the population P of Corpus Christi, Texas, between the years 1970 and 2005 by the radical function below. Using this model, in what year was the population of Corpus Christi 275,000?The Desmos graphing utility is embedded below for your convenience.

Problem 1 Got It?
Graph the parent square root function and the two translations in the same plane.
Notice how the translations relate to the parent function, to their graphs, and to one another.
Zoom and pan your graph to establish an appropriate viewing window.

Problem 2 Got It?
Graph the parent square root function and the two translations in the same plane.
Notice how the translations relate to the parent function, to their graphs, and to one another.
Zoom and pan your graph to establish an appropriate viewing window.

Problem 3 Got It?
Graph the parent square root function and the two translations in the same plane.
Notice how the translations relate to the parent function, to their graphs, and to one another.
Zoom and pan your graph to establish an appropriate viewing window.

Problem 5 Got It?
Graph the parent cube root function and the translation in the same plane.
Notice how the translation relates to the parent function and to its graph.
Zoom and pan your graph to establish an appropriate viewing window.

Review Lesson 4-7: Write the common form of the quadratic formula.
Hint: It shoud be in this format: x = [insert correct rational expression here].

Review Lesson 1-3: Evaluate the expression for the given value of x.
Enter only a number.

Review Lesson 1-3: Evaluate the expression for the given value of x.
Enter only a number.

Review Lesson 1-3: Evaluate the expression for the given value of x.
Enter only a number.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

Problem 1 Got It?
Graph the parent square root function and the two translations in the same plane.
Notice how the translations relate to the parent function, to their graphs, and to one another.
Zoom and pan your graph to establish an appropriate viewing window.

Problem 2 Got It?
Graph the parent square root function and the two translations in the same plane.
Notice how the translations relate to the parent function, to their graphs, and to one another.
Zoom and pan your graph to establish an appropriate viewing window.

Problem 3 Got It?
Graph the parent square root function and the two translations in the same plane.
Notice how the translations relate to the parent function, to their graphs, and to one another.
Zoom and pan your graph to establish an appropriate viewing window.

Problem 4 Got It? You can model the population P of Corpus Christi, Texas, between the years 1970 and 2005 by the radical function below.
Using this model, in what year was the population of Corpus Christi 275,000?

The Desmos graphing utility is embedded below for your convenience.

Problem 5 Got It?
Graph the parent cube root function and the translation in the same plane.
Notice how the translation relates to the parent function and to its graph.
Zoom and pan your graph to establish an appropriate viewing window.

Review Lesson 4-7: Write the common form of the quadratic formula.
Hint: It shoud be in this format: x = [insert correct rational expression here].

Review Lesson 1-3: Evaluate the expression for the given value of x.
Enter only a number.

Review Lesson 1-3: Evaluate the expression for the given value of x.
Enter only a number.

Review Lesson 1-3: Evaluate the expression for the given value of x.
Enter only a number.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

Problem 4 Got It? You can model the population P of Corpus Christi, Texas, between the years 1970 and 2005 by the radical function below.
Using this model, in what year was the population of Corpus Christi 275,000?

The Desmos graphing utility is embedded below for your convenience.