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)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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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
Transcribed Image Text: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
Transcribed Image Text: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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