determine the equation

Question

Determine the equation of g(x) that results from translating the function f(x) = (x + 10)2 to the right 13 units.

A. g(x) = (x - 3)2

B. g(x) = (x + 23)2

C. g(x) = (x + 10)2 - 13

D. g(x) = (x + 10)2 + 13

Answer 1

A. g(x)= (x-3)^2

the vertex was (-10,0) shifting to the right 13 means the new vertex is (3,0)

the general form of the parabola is f(x) = (x-h)^2 + k where (h,k) is the vertex

g(x) = (x-3)^2 has vertex (3,0)