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????

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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) About Me  (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)

graph%28200%2C200%2C-8%2C8%2C-8%2C8%2Cx%5E2%29

Then we make this transformation

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

graph%28200%2C200%2C-8%2C8%2C-8%2C8%2C%28x%2B3%29%5E2%29

Then we make this transformation:

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

graph%28200%2C200%2C-8%2C8%2C-8%2C8%2C%281%2F3%29%28x%2B3%29%5E2%29

Then we make this transformation:

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

graph%28200%2C200%2C-8%2C8%2C-8%2C8%2C%281%2F3%29%28x%2B3%29%5E2%2B1%2F3%29

Edwin