Determine the equation of g(x) that results from translating the function f(x) = x2 + 9 upward 13 units.

Question

Determine the equation of g(x) that results from translating the function f(x) = x2 + 9 upward 13 units.

Answer 1

g(x)= x2 + 9+13; 

g(x) = x2+ 22

 

 

Answer 2

In the function f(x) = (x - h)² + k, the point (h, k) is the vertex. Notice that "k" is the y-coordinate. To move the graph (translate) up 13 units add 13 to "k."

 

g(x) = x² + 22