Math Snap

STEP 1

1. The given quadratic function is in vertex form, which is $f(x) = a(x-h)^2 + k$.
2. The vertex form of a quadratic function directly provides the coordinates of the vertex as $(h, k)$.

STEP 2

1. Identify the vertex form of the quadratic function.
2. Extract the vertex coordinates from the function.

STEP 3

Identify the vertex form of the quadratic function. The given function is:
$$f(x) = 2(x-4)^2 + 3$$ This is already in the vertex form $f(x) = a(x-h)^2 + k$.

Extract the vertex coordinates from the function. In the vertex form $f(x) = a(x-h)^2 + k$, the vertex is given by the point $(h, k)$.
From the function $f(x) = 2(x-4)^2 + 3$, we can see that:
- $h = 4$
- $k = 3$
Thus, the vertex is $(4, 3)$.
The vertex is $\boxed{(4, 3)}$.