3. Here is an equation, f(x) = − ½ (2³x−3) + 5. 3x-3 A) Rewrite the equation with following additional transformations, and call it g(x): (***Remember: Show/Explain how you figured out the new transformation values.***) Additional Transformations: vertically stretched by a factor of 4 horizontally stretch by a factor of 3 reflected about the y-axis shifted left 2 units shifted down 2 units

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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3x-
3. Here is an equation, f(x) = − ½¼½ (2³x−³) + 5.
A) Rewrite the equation with following additional transformations, and
call it g(x):
(***Remember: Show/Explain how you figured out the new
transformation values.***)
Additional Transformations:
☐☐☐
vertically stretched by a factor of 4
horizontally stretch by a factor of 3
reflected about the y-axis
shifted left 2 units
shifted down 2 units
B) Sketch both f(x) and g(x) on different graphs, and label the
asymptotes, x-intercept(s), and y-intercept(s) on each sketch.
Transcribed Image Text:3x- 3. Here is an equation, f(x) = − ½¼½ (2³x−³) + 5. A) Rewrite the equation with following additional transformations, and call it g(x): (***Remember: Show/Explain how you figured out the new transformation values.***) Additional Transformations: ☐☐☐ vertically stretched by a factor of 4 horizontally stretch by a factor of 3 reflected about the y-axis shifted left 2 units shifted down 2 units B) Sketch both f(x) and g(x) on different graphs, and label the asymptotes, x-intercept(s), and y-intercept(s) on each sketch.
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