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

Question

a. g(x)=(x-11)^2

b. g(x)=(x+15)^2

c. g(x)=(x+2)^2-13

d. g(x)=(x+2)^2+13

Answer 1

When you translate a function a units to the right, you replace the x in the equation by (x-a) and then simplify. 

 

In this case you should replace x by (x-13)

 

g(x)=f(x-13)=((x-13)+2)²=(x-11)²