The numbers N (in millions) of households in the United States from 2000 through 2014 can be approximated b N(t) = -0.023(t - 33.12)² + 131, 0 ≤t≤ 14 where t represents the year, with t = 0 corresponding to 2000.+ (a) Describe the transformation of the parent function f(x) = x². (Select all that apply.) horizontal shift 33.12 units to the right O reflection in the x-axis O reflection in the y-axis O vertical shift 131 units upwards Ohorizontal shift 131 units to the left Overtical shrink O horizontal shrink X

The numbers N (in millions) of households in the United States from 2000 through 2014 can be approximated b N(t) = -0.023(t - 33.12)² + 131, 0 ≤t≤ 14 where t represents the year, with t = 0 corresponding to 2000.+ (a) Describe the transformation of the parent function f(x) = x². (Select all that apply.) horizontal shift 33.12 units to the right O reflection in the x-axis O reflection in the y-axis O vertical shift 131 units upwards Ohorizontal shift 131 units to the left Overtical shrink O horizontal shrink X

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

How can the transformation of the parent function below be described? Rate of change and prediction below are also part of the problem.

The numbers N (in millions) of households in the United States from 2000 through 2014 can be approximated by
N(t) = -0.023(t - 33.12)2 + 131, 0 ≤ t ≤ 14
where t represents the year, with t = 0 corresponding to 2000.+
(a) Describe the transformation of the parent function f(x) = x². (Select all that apply.)
horizontal shift 33.12 units to the right
reflection in the x-axis
reflection in the y-axis
vertical shift 131 units upwards
horizontal shift 131 units to the left
vertical shrink
O horizontal shrink
X

b.) Find the average rate
of
of Change
of the function 2000 to 2014.
(Round your
answer to three decimal
Places..
C.) Use the model
umber
US
num in 2023. (Round answer to one decimal
to predict the
of households in the

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