SOLUTION: For the function h(x)=-(x-5)^2+3, do the following: (a)Identify the parent function (b)Describe the transformation from f to h (c)Sketch the graph of h(x)

Question 885670: For the function h(x)=-(x-5)^2+3, do the following:
(a)Identify the parent function
(b)Describe the transformation from f to h
(c)Sketch the graph of h(x)
Answer by Edwin McCravy(20059) (Show Source): You can put this solution on YOUR website!



The parent function is the red graph below.



Then we will multiply the right side by -1, getting



which will reflect it across or into the x-axis, the green
graph below.  

Then we will replace x in the the right side by x-5, getting



which will shift it 5 units to the right, the light blue (aqua) 
graph below.

Finally we will add +3 to the the right side, getting



which will shift it 3 units upward, the purple graph below.
 


Edwin

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