translating function

Question

Determine the equation of g(x) that results from translating the function f(x) = (x + 2)2 to the right 14 units.

g(x) = (x - 12)2

g(x) = (x + 16)2

g(x) = (x + 2)2 - 14

g(x) = (x + 2)2 + 14

Answer 1

In f(x) = (x - h)² + k, (h, k) is the vertex.

 

In f(x) = (x - (-2))² + 0 the vertex is (-2, 0).

14 units to the right (along the x-axis) is 12

 

g(x) = (x - 12)²