Transformations  Maths
posted by Dog on .
List a sequence of transformations which maps the graph of y=x^2 to the image with equation y=4*(2x3)^2 + 1

The general transformation equation is:
g(x)=a*f(b(xh))+k
where
h=horizontal translation (right if h>0)
b=horizontal scaling (stretch if 1/b>1)
a=vertical scaling (stretch if a>1)
k= vertical translation (up if k>0)
applied in the above order, i.e. according to the PEMDAS rule.
So the transformed equation can be written as:
let f(x)=x²
then
g(x)=4*(2x3)² + 1
=4*(2(x3/2))² +1
=4*f(2(x3/2))+1
Identify the values of h,b,a,k as given above and hence the sequence of transformations.