Please, if you can help me on these few problems. if you can show the steps.

The mirror in Carl's flashlight is a paraboloid. If the mirror is 9 centimeters in diameter and 2.5 centimeters deep, where should the light bulb be placed so that it is at the focus of the mirror? Round the answer to two decimal places. The light bulb should be placed inside the mirror centimeters from the vertex. Question Help: Video A satellite dish is shaped like a paraboloid. The receiver is to be located at the focus. If the dish is 10 feet across its opening and 6 feet deep at its center, where should the receiver be placed? Round the answer to 2 decimal places. The receiver should be placed feet above the center. Question Help: Video Find the standard form of the equation of the parabola that has a vertex at (0,0) and a latus rectum with endpoints (-2, 1) and (2, 1); Find the standard form of the equation of the parabola that has a vertex at (0,0) and a latus rectum with endpoints (2, - 4) and (2, 4): Find the standard form of the equation of the parabola that has a vertex at (-2, -3) and contains the points (- 4,0) and (0,0): Question Help: Video