Question

Magnify the triangle p(0,0) q(2,2) and r(0,4) to four times it's size while keeping r (10,4)fixed

Answer 1

Answer:

If the point C (5,2) needs to be fixed this means the transformation scaling needs to be done with respect to the point C (5,2). So, we will bring the point C (5,2) to origin first and then perform the transformation and finally send the point C (5,2) back.

In other words, we would perform a negative translation with Tx =5 and Ty = 2 then perform scaling transformation Sx and Sy =2 and finally a positive translation with Tx=5 and Ty=2.

Computer graphics only provides the transformation with respect to origin. To get above transformation we need to perform multiple transformations, which is also knowns as composite transformation.