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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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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