![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
(a)
\The parent function is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=aaef30a32ca8de54e4ce82adf6059972.png\")
.
Graph the parent function .
Graph is : \ \
\![\"](\"/userfiles/image/Library/Trigonometry/graph_the_function_f(x)=sqrt(x)_1.gif\")
Let ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=6c8e988b7896f6a3a3d4b4ad96089ed1.png\")
be the transformation function.
Observe the two graphs of f and g : \ \
\The graph of g is a vertical stretch (each y - value is multiplied by 9) followed by a downward shift of two units of the graph of .
So, the equation for the graph is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=0c647d57a28c88d2f9f5a1b706cc7f77.png\")
.![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step2.JPG\")
(b)
\The parent function is .
Graph the parent function .
Graph is :
\![\"](\"/userfiles/image/Library/Trigonometry/graph_the_function_f(x)=sqrt(x)_3.gif\")
Let be the transformation function.
Observe the two graphs of f and g :
\The graph of g is a reflection in the x - axis followed by a vertical shrink (each y - value is multiplied by ![\"1](\"http://www.wiris.com/portal/plugins/demo/fckeditor/php/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=31c1c8d1108aab189a5e84564e7bb24b.png\")
) of the graph of .
So, the equation for the graph is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=664d3f2f6fedcf961785e87aa25fb03f.png\")
.![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
(a) The equation for given graph of function.
(b) The equation for given graph of function.