Final answer:
To find the vertex of a function in vertex form, identify the values of 'h' and 'k' in the equation f(x) = a(x-h)^2 + k, and the vertex is simply (h, k).
Step-by-step explanation:
To find the vertex of a function in vertex form, you first need to recognize that the vertex form of a quadratic function is written as f(x) = a(x-h)² + k, where (h, k) is the vertex of the parabola. The coefficients 'a' affects the width and direction of the parabola, while 'h' and 'k' determine its horizontal and vertical position, respectively. Here's how you identify the vertex: No simplification or solving is required since the vertex is directly given by the values of 'h' and 'k' in the equation. It's straightforward once you're familiar with the structure of the vertex form.