Question 56663
Find the function that is finally graphed after the folowing transformations are applied to the graph of y=sqroot of x.
1. Shift up 3 units 
2. Reflect about the y-axis
3. Shift right 2 units
This is what {{{y=sqrt(x)}}} looks like without shifting:
{{{graph(300,200,-10,10,-10,10,sqrt(x))}}}
1. {{{y=sqrt(x)+3}}}
2.{{{y=sqrt(-x)}}}
3. {{{y=sqrt(x-2)}}}
Put them all together and you have
{{{y=sqrt(-(x-2))+3}}}
{{{y=sqrt(-x+2)+3}}}
{{{graph(300,200,-10,10,-10,10,sqrt(-x+2)+3)}}}
Happy Calculating!!!