SOLUTION: A lamp whose bulb is placed on the focus has a focal diameter of 12 cm. a. find the equation of the parabola. b. find the diameter of the opening 20 cm from the vertex.

Algebra.Com
Question 1170110: A lamp whose bulb is placed on the focus has a focal diameter of 12 cm.
a. find the equation of the parabola.
b. find the diameter of the opening 20 cm from the vertex.

Answer by AnlytcPhil(1806)   (Show Source): You can put this solution on YOUR website!




where (h,k) = (0,0) = the vertex and 4a = focal diameter





The black line is the focal diameter.

We want the length of the red line.

The end points are where y=20













So the red line is twice the absolute value of x.

Answer: , about 30.98

Edwin

RELATED QUESTIONS

if you are given a parabola and the focal diameter is 12, how do you find what the focus... (answered by lwsshak3)
Find the focus, directrix, and focal diameter of the parabola. 9x + 7y2 = 0 focus (x,... (answered by Fombitz)
could you help me solve a headlight mirror concerning parabola's. a car headlight mirror (answered by venugopalramana)
Find the focus, directrix, and focal diameter of the parabola. 4x^2 +11y =... (answered by lwsshak3)
Find the foci, asymptotes, and focal constant of a parabola with the equation: xy=12 (answered by stanbon)
1. The lens equation for a camera is 1/f = 1/di + 1/do , where f is the focal length... (answered by Theo)
Find a) vertex, b ) focus, c) directrix, d) symmetry axis, e) focal distance of the... (answered by lwsshak3)
A radio telescope has a parabolic dish with a diameter of 110 meters. The collected... (answered by MathLover1)
1. Find the standard form of the equation of the parabola with a focus at (0, -9) and a... (answered by josgarithmetic)