25. The graph of y g(x) shown below is the transformation image of the graph of y = log,x. Kendra says that the graph of y g(x) is the image of the graph of y- log,x after a translation of 1 unit left and 1 unit down. Luke says that the graph of y- g(x) is the image of the graph of y log,x after a horizontal stretch by a factor of 2, then a translation of 1 unit left. Jog If both Kendra and Luke are correct, write the equation for y- g(x) after each set of transformations, and show that the equations are equivalent. 上 Otherwise, sketch the image graph after the transformations identified by the incorrect person to show how it differs from the graph of y g(x).

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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25.
The graph of y = g(x) shown below is the transformation image of the graph of,
= log,x.
%3D
Kendra says that the graph of y = g(x) is the
image of the graph of y = log,x after a translation
of 1 unit left and 1 unit down.
Luke says that the graph of y = g(x) is the image
of the graph of y = log,x after a horizontal stretch
by a factor of 2, then a translation of 1 unit left.
log ()
If both Kendra and Luke are correct, write the
equation for y = g(x) after each set of
transformations, and show that the equations are
equivalent.
Otherwise, sketch the image graph after the
transformations identified by the incorrect person
to show how it differs from the graph of y = g(x).
Transcribed Image Text:Problem 25. The graph of y = g(x) shown below is the transformation image of the graph of, = log,x. %3D Kendra says that the graph of y = g(x) is the image of the graph of y = log,x after a translation of 1 unit left and 1 unit down. Luke says that the graph of y = g(x) is the image of the graph of y = log,x after a horizontal stretch by a factor of 2, then a translation of 1 unit left. log () If both Kendra and Luke are correct, write the equation for y = g(x) after each set of transformations, and show that the equations are equivalent. Otherwise, sketch the image graph after the transformations identified by the incorrect person to show how it differs from the graph of y = g(x).
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