The graph of ƒ (x) = x² is stretched vertically by a factor of 2, reflected in the x- axis, translated 3 units to the right and 1 unit down. Determine the function that results from these transformations. %3D a) g (x) = –2(x + 3)² – 1 %3D O b) g (x) = 2(-x – 3)? – 1 %3D Oc) g (x) = -2(x – 3) – 1 %3D )d) g (x) = -2f(x - 3)? – 1 %3D

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter3: Linear And Nonlinear Functions
Section3.5: Transformations Of Linear Functions
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The graph of f (x) = x² is stretched vertically by a factor of 2, reflected in the x-
axis, translated 3 units to the right and 1 unit down. Determine the function that
results from these transformations.
%3D
a) g (x) = –2(x + 3)² – 1
%3D
) b) g (x) = 2(-x – 3)² – 1
%3D
O c) g (2) = -2(x – 3)° – 1
%3D
d) g (x) = -2f(x - 3)° – 1
%3D
Transcribed Image Text:The graph of f (x) = x² is stretched vertically by a factor of 2, reflected in the x- axis, translated 3 units to the right and 1 unit down. Determine the function that results from these transformations. %3D a) g (x) = –2(x + 3)² – 1 %3D ) b) g (x) = 2(-x – 3)² – 1 %3D O c) g (2) = -2(x – 3)° – 1 %3D d) g (x) = -2f(x - 3)° – 1 %3D
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