Solve the problem.
-A spotlight has a parabolic cross section that is 6 ft wide at the opening and 2.5 ft deep at the vertex. How far from the vertex is the focus? Round answer to two decimal places.
A) 0.90 ft
B) 0.21 ft
C) 0.52 ft
D) 0.26 ft

Question

Quizplus · Accepted Answer

The focus of a parabola is located at a distance of p/4 from the vertex, where p is the distance between the focus and the directrix. In this case, the distance between the focus and the vertex is 2.5 ft, so the focus is located at a distance of 2.5/4 = 0.625 ft from the vertex.

Solve the Problem. -A Spotlight Has a Parabolic Cross Section That Is 6