Size change/dilation. T(x,y)=(cx,cy). Consider the functions f(x)=4x^3 and g(x)=9x^3. Find a size change that maps f(x) onto g(x)

Answer 1

f=4x^3, g=9x^3

g(x)=(9/4)f(x)=2.25f(x)

=2.25(4)x^3= 9x^3

(x,f(x)) to (x,g(x))= (x,2.25f(x))

(x, 4x^3) to (x,9x^3)

(x,y) to (x,2.25y)

(x,y) to (x,cy) where c=2.25