Bigmathideas.com

Question

write a function g whose graph represents the indicated transformation of the graph of g. g(x)=

Answer 1

start with g(x) = x^2

stretch vertically by factor of 3 transforms to h(x) = 3x^2

compress vertically by factor of 1/2 transforms to j(x)= (3/2)x^2

shift right by 4 transforms to k(x) = (3/2)(x-4)^2

shift down by 5 transforms to m(x) = (3/2)(x-4)^2 -5

start with y=x^2, end with y=1.5(x-4)^2 -5