1 Dominick graphs the equation y = a|x| where a is a positive integer. If Gina multiplies a by -3, the new graph will become 1) narrower and open downward 2) narrower and open upward 3) wider and open downward 4) wider and open upward 2 Describe the effect that each transformation below has on the function f(x) = |x|, where a > 0. g(x) = |x-a| h(x) = |x|-a 3 Graph and label the functions y = |x| and y = |2x on the set of axes below. y

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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Answer questions 1-4
1 Dominick graphs the equation y = a|x|
where a is a positive integer. If Gina
multiplies a by -3, the new graph will
become
1) narrower and open downward
2) narrower and open upward
3) wider and open downward
4) wider and open upward
2 Describe the effect that each
transformation below has on the function
f(x)= |x|, where a > 0.
g(x) = |x-a|
h(x) = |x|-a
3 Graph and label the functions y = |x| and
y = |2x on the set of axes below.
Explain how increasing the coefficient of
x affects the graph of y = |x|.
Transcribed Image Text:1 Dominick graphs the equation y = a|x| where a is a positive integer. If Gina multiplies a by -3, the new graph will become 1) narrower and open downward 2) narrower and open upward 3) wider and open downward 4) wider and open upward 2 Describe the effect that each transformation below has on the function f(x)= |x|, where a > 0. g(x) = |x-a| h(x) = |x|-a 3 Graph and label the functions y = |x| and y = |2x on the set of axes below. Explain how increasing the coefficient of x affects the graph of y = |x|.
Expert Solution
Question 1

Given,

y= a|x|

When we multiply the above equation by -3,

The new graph becomes,

1) Narrower and open downward is the required answer.

Considering a to be a random integer the graph is provided for the situation for better understanding.

Red curve is a|x| and the blue one is of that of -3a|x| in the graph.

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