Question

Matteo is adjusting a satellite because he finds it is not focusing the incoming radio waves perfectly. The shape of his satellite can be modeled by y^2=6x where x and y are modeled in inches. He realizes that the static is a result of the feed antenna shifting slightly off the focus point. What is the focus point of the satellite? (–1.5, 0) (0, –1.5) (0, 1.5) (1.5, 0)

Answer 1

Answer: (1.5, 0)

Explanation:

Answer 2

Answer: (1.5, 0)

Explanation:

Given : The shape of his satellite can be modeled by
`y^2=6x` where x and y are modeled in inches.

Now,the given equation
`y^2=6x` is a equation of parabola.

Here, coefficient of x is positive, hence the parabola opens rightwards.

On comparing this equation with standard equation
`x^2=4mx`, we get

`4m=6\\\Rightarrow\ m=(6)/(4)=1.5`

In standard equation, coordinates of focus=(m,0)

Thus for given equation coordinates of focus=(1.5,0)