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?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.CT: Chapter Test
Problem 6CT: Assume that an object tossed vertically upward reaches a height of h feet after t seconds, where...
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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?
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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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