can some one help me ...

determind the equation of g(x) that results translating the funtion f(x)=x^2
+19 upward 15 units,,,,


the answere im stuck is not sure g(x)=x^2+24 0r is it g(x)=(x+15)^2 +9

g(x) = f(x)+15 = x^2+19+15 = x^2+34

f(x+15) shifts the graph left by 15 units, not up.

Something tells me that f(x) = x^2+9, judging from your other efforts.