Fabio is designing a flashlight that uses a parabolic reflecting mirror and a light source. the shape of the mirror can be modeled by (x-2)^2=10(y-3), where x and y are measured in inches. where is the focus of the flashlight?
a. (–2, –0.5)
b. (2, –5.5)
c. (2, 5.5)
d. (5.5, 2)

(2, 5.5)

Step-by-step explanation:

The standard form of parabola is :

---1

where the focus is  

Now we are Fabio is designing a flashlight that uses a parabolic reflecting mirror and a light source.The shape of the mirror can be modeled by:

Now compare it with 1

Now Focus  is  

So, the focus of the flash light =

                                                   =

Hence  the focus of the flashlight is  (2, 5.5)

p

step-by-step explanation: