Determine the equation of g(x) that results from translating the function f(x) = x2 + 5 upward 11 units.

Question

Determine the equation of g(x) that results from translating the function f(x) = x2 + 5 upward 11 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 f(x) upward 11 units, simply add 11 to f(x):

 

g(x) = f(x) + 11 = x² + 5 + 11 = x² + 16