Final answer:
A dish is a curved surface that can be modeled by a parabolic equation. The width of the dish can be determined using the equation for a parabola. The receiver at the focus will be at (0, p), where p is the focal length of the dish.
Step-by-step explanation:
In geometry, a dish is a curved surface that can be modeled by a parabolic equation.
When the height from the vertex is 0.75 feet, the width of the dish can be determined by finding the corresponding width of the parabola. This can be done using the equation for a parabola, which is y = ax^2.
As for the receiver at the focus, it will be at the point (0, p), where p is the distance from the vertex to the focus. In this case, p is equal to the focal length of the dish.