Final answer:
The point (h, k) represents the vertex of the parabola in the equation.
Step-by-step explanation:
The point (h, k) in the equation y = 1/4p(x-h)²+k represents the vertex of the parabola.
The value of h determines the horizontal shift of the vertex, while the value of k determines the vertical shift of the vertex. If h is positive, the vertex is shifted to the right; if h is negative, the vertex is shifted to the left. If k is positive, the vertex is shifted upward; if k is negative, the vertex is shifted downward.
For example, if the equation is y = 1/4p(x-2)²-3, the vertex of the parabola is located at (2, -3).