When we know the formula defining one function (in this case f(z) = 2? + 5), we can use our insights to help us write a formula for the new function defined via a transformation. Complete each part of the process of defining the formula for g. g(z) = f(x) – 3 9(z) = (x² + 5) – 3 %3D 9(x) = x² + Preview Thus, the formula for g is g(r) = Previev %3D The graph for g (in red) based on your definition will appear below along with function f (in blue). You should verify that this matches the graph in the previous question. 14 12 10 6.

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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When we know the formula defining one function (in this case f(z) = 2? + 5), we can use our insights to help us write a formula for the new
function defined via a transformation. Complete each part of the process of defining the formula for g.
g(z) = f(x) – 3
9(z) = (x² + 5) – 3
%3D
9(x) = x² +
Preview
Thus, the formula for g is g(r) =
Previev
%3D
The graph for g (in red) based on your definition will appear below along with function f (in blue). You should verify that this matches the
graph in the previous question.
14
12
10
6.
Transcribed Image Text:When we know the formula defining one function (in this case f(z) = 2? + 5), we can use our insights to help us write a formula for the new function defined via a transformation. Complete each part of the process of defining the formula for g. g(z) = f(x) – 3 9(z) = (x² + 5) – 3 %3D 9(x) = x² + Preview Thus, the formula for g is g(r) = Previev %3D The graph for g (in red) based on your definition will appear below along with function f (in blue). You should verify that this matches the graph in the previous question. 14 12 10 6.
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