Transform the given function as described and and write the resulting function as an equation

Question

f(x)= x^2

compress vertically by a factor of 2

translate down two units

Answer 1

f(x) = x^2 an upward opening parabola with vertex at the origin

compress vertically by a factor of 2

g(x) = (1/2)x^2

translate down by 2

h(x) = (1/2)x^2 - 2

y = x^2/2 - 2 with vertex (0,-2)