SOLUTION: {{{ Let g(x) = 27 (x + 2)(x - 24) }}} What are the resulting functions? The graph of a function F is obtained by performing a sequence of transformations of the graph of g. Fo

Algebra ->  Functions -> SOLUTION: {{{ Let g(x) = 27 (x + 2)(x - 24) }}} What are the resulting functions? The graph of a function F is obtained by performing a sequence of transformations of the graph of g. Fo      Log On


   

Question 906109: +Let+g%28x%29+=+27+%28x+%2B+2%29%28x+-+24%29+ What are the resulting functions?

The graph of a function F is obtained by performing a sequence of transformations of the graph of g. For each of the transformations listed below write the resulting function
Shrink the graph of g vertically by a factor of +1%2F3+
Shrink the graph of g vertically by a factor of +1%2F3+
+y+ =
Then reflect that graph in the x-axis.
+y+ =
Finally shift left 24 units.
+F%28x%29+ =

Please explain,
Thank you
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
+Let+g%28x%29+=+27+%28x+%2B+2%29%28x+-+24%29+ What are the resulting functions?
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The graph of a function F is obtained by performing a sequence of transformations of the graph of g. For each of the transformations listed below write the resulting function

Shrink the graph of g vertically by a factor of +1%2F3+
y = 9(x+2)(x-24)
-----------------------
Then reflect that graph in the x-axis.
y = -9(x+2)(x-24)
==========================
Finally shift left 24 units.
F(x) = -9(x+26)(x)
==========================
Cheers,
Stan H.
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Please explain,
Thank you