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????
<pre>
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(200,200,-8,8,-8,8,x^2)}}}

Then we make this transformation

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

{{{graph(200,200,-8,8,-8,8,(x+3)^2)}}}

Then we make this transformation:

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

{{{graph(200,200,-8,8,-8,8,(1/3)(x+3)^2)}}}

Then we make this transformation:

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

{{{graph(200,200,-8,8,-8,8,(1/3)(x+3)^2+1/3)}}}

Edwin</pre>