Please help with my calculus?

Question

I currently have this grapg

http://www.webassign.net/www24/mapleplots/b/a/f7a534c140c75bcc64deb9f32488e1.gif

the equation is: y = (5x-x^2)^(1/2)

my assignment is to change the equation to turn it into this

http://www.webassign.net/www24/mapleplots/0/6/c774643775f1ed2ebf8b7d59be84fc.gif

Please help. It's due at 2:00am, pacific time

Answer 1

So basically, you are asked to take the graph 4 point to the right and stretch it based on the y axis so that it has length 2 times of the original.

To take the graph to the right, you need to change all the x into (x-4)

So:

y becomes (5(x-4)-(x-4)^2)^(1/2)=(-x^2+13x-36)^(1/...

After that, to stretch it into 2 times of the original length in y axis, you need to multiply the equation with 2. So y becomes 2((-x^2+13x-36)^(1/2))