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A searchlight uses a parabolic mirror to cast a beam of light in parallel rays where the light bulb is located at the focus of the parabola in order to give the best illumination. The mirror is modeled by y2 = 20(x – 10), where the measurements are in cm. What is the location of the light bulb? HELP!!!!

A. (10, 0)
B. (20, 0)
C. (12, 0)
D. (15, 0)

Respuesta :

Martebi

The location of the light bulb is (15, 0). Check the reason for the answer been (15, 0) below.

What is a parabolic mirror?

This is also known as  paraboloid or paraboloidal reflector. It is a kind of  dish or a mirror that is said to have a reflective surface which is often used to take in or project any kind of energy e.g., light, sound, etc.

For the above question, the formula is:

y² = 2px

The focus is (p/2, 0)

x- 10 = u

y2 = 20u

So, the focus for U  =  ( [tex]\frac{20}{4}[/tex]; 0)

The focus for x =  ( [tex]\frac{20}{4}[/tex]; 10, 0)

= 5 , 10, 0

= (15, 0)

Therefore, the answer is (15, 0)

Learn more about  parabolic mirror from

https://brainly.com/question/9710549

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