SOLUTION: The graph of y=x^2 has been transformed according to the mapping rule (x,y)-(x+3,3y-1). What would the new graph look like????

Question 125442: The graph of y=x^2 has been transformed according to the mapping rule (x,y)-(x+3,3y-1). What would the new graph look like????
Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website!
The graph of y=x^2 has been transformed according to the mapping rule (x,y)-(x+3,3y-1). What would the new graph look like????

Let's write it ( x+3, 3(y-1/3) ) and break it down making just one
transformation at a time.

We start with (x,y)



Then we make this transformation

(x,y) -> (x+3,y) which shifts the graph 3 units left.



Then we make this transformation:

(x+3,y) -> (x+3,3y) which shrinks the graph vertically by a factor of 1/3.



Then we make this transformation:

(x+3,3(y-1/3)) which shifts the graph upward 1/3 of a unit.



Edwin

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