Write an equation for the function whose graph is described. The shape of f(x) = x2, but shifted four units to the right and six units down

Question

Write an equation for the function whose graph is described.

The shape of f(x) = x²,

 but shifted four units to the right and six units down

Answer 1

f(x) = x^2

shift right 4 gives

g(x) = (x-4)^2

shift down 6 gives

h(x) = (x-4)^2 -6

or

h(x) = x^2 -8x +16 -6

h(x) = x^2 -8x +10

although no figure is shown