Determine the equation of g(x) that results from translating the function f(x) = x+4^2 to the right 15 units.

Question

Determine the equation of g(x) that results from translating the function f(x) = x+4^2 to the right 15 units.

Please help with steps on this type of problem as I am stuck and just can't figure the answer.

Answer 1

To translate the graph of f(x) = (x + 4)² 15 units to the right, replace x by x - 15.

 

So, g(x) = (x - 15 + 4)²

 

      g(x) = (x - 11)²

 

In general, if c > 0, then replacing x by x - c translates a graph c units to the right and replacing x by x + c translates a graph c units to the left.