Question

write an algebraic description for the sequence of Transformations that will map the preimage onto the image to show that the two circles are similar first transformation dilate the orgin (x,y) and (kx,ky)

Answer 1

The first transformation is a translation one unit up.

The second transformation is a translation of four units left.

The scale factor is 2.5.

According to the transformations above, the circles are similar, they are related with a scale factor of 2.5.

The equation of the preimage is

$x^2+y^2=1$

The equation of the image is

$(x+4)^2+(x-1)^2=(2.5)^2$