Video Check: Select all that apply with regards to the video embedded directly above this item.
Solve It!
Solve It! Response & Explanation
3 points
3
Question 2
2.
Video Check: Select all that apply with regards to the video embedded directly above this item.
Take Note: Take a moment to add the information about radical functions and square root functions to your notes. Don't forget to add the details from the Key Concept box about their reflections and transformations.
10 points
10
Question 3
3.
Take Note: What is the parent square root function ? Use y and x, as shown in this lesson.
10 points
10
Question 4
4.
Take Note: What is the parent radical function ? Use y, x, and index n, as shown in this lesson.
10 points
10
Question 5
5.
Problem 1 Got It? Graphing:
y=\sqrt{x} (parent square root function)
y=\sqrt{x}+2
y=\sqrt{x}-3
Graph the three square root functions on the same plane at desmos.com.
Zoom and pan your graph to establish an appropriate viewing window.
Notice how the translations relate to the parent function, to their graphs, and to one another.
Take a screenshot of your graph and upload or paste it onto the Formative canvas.
3 points
3
Question 6
6.
Video Check: Select all that apply with regards to the video embedded directly above this item.
8 points
8
Question 7
7.
Take Note: Use your knowledge of function translations to match corresponding items below.
Draggable item
arrow_right_alt
Corresponding Item
y=\sqrt{x+3}
arrow_right_alt
The graph of the parent function y=\sqrt{x} shifted right 3 units.
The graph of the parent function y=\sqrt{x} shifted down 3 units.
arrow_right_alt
The graph of the parent function y=\sqrt{x} shifted left 3 units.
y=\sqrt{x-3}
arrow_right_alt
y=\sqrt{x}-3
The graph of the parent function y=\sqrt{x} shifted up 3 units.
arrow_right_alt
y=\sqrt{x}+3
10 points
10
Question 8
8.
Problem 2 Got It? Graphing:
y=\sqrt{x} (parent square root function)
y=\sqrt{x-3}
y=\sqrt{x+2}
Graph the three square root functions on the same plane at desmos.com.
Zoom and pan your graph to establish an appropriate viewing window.
Notice how the translations relate to the parent function, to their graphs, and to one another.
Take a screenshot of your graph and upload or paste it onto the Formative canvas.
3 points
3
Question 9
9.
Video Check: Select all that apply with regards to the video embedded directly above this item.
Take Note: Consider the parent square root function:
and the combined transformation function:
10 points
10
Question 10
10.
Take Note:
What impact does a in the combined transformation functionhave on the graph of the parent square root function ?
10 points
10
Question 11
11.
Take Note:
What impact does h in the combined transformation functionhave on the graph of the parent square root function ?
10 points
10
Question 12
12.
Take Note:
What impact does k in the combined transformation functionhave on the graph of the parent square root function ?
10 points
10
Question 13
13.
Take Note: Consider the parent square root function y=\sqrt{x} and the combined transformation function y=a\sqrt{x-h}+k. Match each parameter on the left with its effect on the graph of the parent function.
a
h
k
Translates the graph horizontally
Translates the graph vertically
Stretches or compresses the graph vertically and can cause a vertical reflection of the graph across the x-axis
10 points
10
Question 14
14.
Problem 3 Got It? Graphing:
y=\sqrt{x} (parent square root function)
y=\frac{1}{2}\sqrt{x-3}+4
y=-2\sqrt{x+2}-1
Graph the three square root functions on the same plane at desmos.com.
Zoom and pan your graph to establish an appropriate viewing window.
Notice how the translations relate to the parent function, to their graphs, and to one another.
Take a screenshot of your graph and upload or paste it onto the Formative canvas.
3 points
3
Question 15
15.
Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 16
16.
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?
FYI: You can access the \sqrt[n]{} button for custom indices in the Desmos math keyboard by clicking the Functions button.
3 points
3
Question 17
17.
Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 18
18.
Problem 5 Got It? Graphing:
y=\sqrt[3]{x} (parent cube root function)
y=3-\sqrt[3]{x-2}
Graph the two cube root functions on the same plane at desmos.com. FYI: You can access the \sqrt[n]{} button for custom indices in the Desmos math keyboard by clicking the Functions button.
Zoom and pan your graph to establish an appropriate viewing window.
Notice how the translations relate to the parent function, to their graphs, and to one another.
Take a screenshot of your graph and upload or paste it onto the Formative canvas.
3 points
3
Question 19
19.
Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 20
20.
Take Note: Summarize the process used in Problem 6 to rewrite the radical function y=\sqrt{9x+18} so that it can be graphed using transformations. You may use the canvas to help illustrate your written summary.
10 points
10
Question 21
21.
Problem 6 Got It? How can you rewrite the cube root function below so that you can graph it using transformations. Describe the graph.
10 points
10
Question 22
22.
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)?
10 points
10
Question 23
23.
🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?
