Final answer:
The turning point of the function f(x)=-2(x-5)²+30 is the vertex of the parabola, which is at the point (5, 30).
Step-by-step explanation:
The turning point of the function f(x)=-2(x-5)²+30 can be found directly from its standard form, which is y = a(x-h)²+k, where (h, k) is the vertex of the parabola. For the given function, the vertex (turning point) is at (5, 30). This is because the value inside the parenthesis, (x-5), gives us the x-coordinate of the vertex when set equal to zero, and the constant term outside the parenthesis, +30, gives us the y-coordinate.