Determine the equation of g(x) that results from translating the function f(x) = x^2 + 9 upward 15 units
To determine the equation of g(x) resulting from translating f(x) upward 15 units, we need to modify the original function f(x) = x^2 + 9 by adding 15 to the equation.
The translation upward 15 units can be achieved by adding 15 to the output of f(x), which is y. Thus, the equation of g(x) is:
g(x) = f(x) + 15
Substituting the given function f(x) = x^2 + 9 into the equation, we have:
g(x) = (x^2 + 9) + 15
Simplifying the equation further:
g(x) = x^2 + 24
Therefore, the equation of g(x) resulting from translating f(x) = x^2 + 9 upward 15 units is g(x) = x^2 + 24.