Final answer:
The coordinates of the vertex for the function f(x)=(x+2)²+4 are (-2, 4), with -2 being the h-value and 4 being the k-value as per the standard form of a quadratic function a(x-h)²+k.
Step-by-step explanation:
To graph the function f(x)=(x+2)²+4, we note that it is a quadratic function in the form of f(x)=a(x-h)²+k, where (h,k) are the coordinates of the vertex of the parabola formed by the graph;
In the given function, h is -2 and k is +4. This is because the equation can be rewritten as f(x)=a(x-(-2))²+4.
Therefore, the coordinates of the vertex for the function f(x)=(x+2)²+4 are (-2, 4).