Question

Gabriella is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by (y+3)^2=26(x-2) where x and y are measured in inches. Where should she place the bulb to ensure a perfect beam of light?

Answer 1

So, the perfect point for the bulb is at parabolic focus. Thankfully, parabolic equation is given in a standart form. So, the visual representation on the carthesian will be a parabola laying sideways facing to the right, with an extremum of (2; -3). Standart view is $y^2 = 2px$. Then, focal parameter is $p = 13$. Then, focus will be at (2+0.5p; -3) or (8,5; -3).

Answer 2

Answer:

Step-by-step explanation:

The answer is C.

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