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Use a graphing calculator to help sketch each graph on the coordinate plane. Note: The general form (or vertex form) of a quadratic equation is y = a(x- h)2 + k. 1. y=x y =x+3 y =x-5 Look at the similarities and differences between your graphs. Write a rule for how changing the value of k affects the graph?

Use a graphing calculator to help sketch each graph on the coordinate plane. Note: The general form (or vertex form) of a quadratic equation is y = a(x- h)2 + k. 1. y=x y =x+3 y =x-5 Look at the similarities and differences between your graphs. Write a rule for how changing the value of k affects the graph?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Page of 2 ZOOM Investigation: Families of Parabolas Use a graphing calculator to help sketch each graph on the coordinate plane. Note: The general form (or vertex form) of a quadratic equation is y = a(x- h)2 + k. Y 1. y=x y =x +3 y = x-5 Look at the similarities and differences between your graphs. Write a rule for how changing the value of k affects the graph? Y4 2. y=x y = (x + 2)? y = (x- 4)2 Look at the similarities and differences between your graphs. Write a rule for how changing the value of h affects the graph? Y 3. y=x y = -x Look at your two graphs. How does using -a instead of a affect the graph?
Transcribed Image Text:Page of 2 ZOOM Investigation: Families of Parabolas Use a graphing calculator to help sketch each graph on the coordinate plane. Note: The general form (or vertex form) of a quadratic equation is y = a(x- h)2 + k. Y 1. y=x y =x +3 y = x-5 Look at the similarities and differences between your graphs. Write a rule for how changing the value of k affects the graph? Y4 2. y=x y = (x + 2)? y = (x- 4)2 Look at the similarities and differences between your graphs. Write a rule for how changing the value of h affects the graph? Y 3. y=x y = -x Look at your two graphs. How does using -a instead of a affect the graph?
Page of 2 ZOOM Name: Block: Date: Y4 4. y=x y = 4x y% D Look at which of the three graphs is the most narrow and which is the widest? How does the value a affect the graph of y = x? Using the results of your experiments above, see if you can answer the following questions. 5. How will the graph of y = x- 6 compare to the graph of y = x ? 6. How will the graph of y = (x + 1) compare to the graph of y =x ? 7. Will the graph of y =-3(x + 18)2-10 open up or down? 8. Will the graph of y = ½ x be wider or more narrow than the graph of y = x ?
Transcribed Image Text:Page of 2 ZOOM Name: Block: Date: Y4 4. y=x y = 4x y% D Look at which of the three graphs is the most narrow and which is the widest? How does the value a affect the graph of y = x? Using the results of your experiments above, see if you can answer the following questions. 5. How will the graph of y = x- 6 compare to the graph of y = x ? 6. How will the graph of y = (x + 1) compare to the graph of y =x ? 7. Will the graph of y =-3(x + 18)2-10 open up or down? 8. Will the graph of y = ½ x be wider or more narrow than the graph of y = x ?
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