Question

The shape of a satellite dish can be described as parabolic. Satellite dishes are this shape because radio waves are reflected from the surface of the dish and received into the focus. If the graph of the satellite dish is given by the equation x2 = 8y, what are the coordinates of the focus? (, )

Answer 1

The focus of this parabola is at
$(0, \frac{1}{4(\frac{1}{8})})=(0, 2)$

Answer 2

Answer:(0,2)

Step-by-step explanation:

Given: The shape of a satellite dish can be described as parabolic. Satellite dishes are this shape because radio waves are reflected from the surface of the dish and received into the focus.

The graph of the satellite dish is given by the equation $x^2=8y$

Here, coefficient of y is positive, hence the parabola opens upwards.

On comparing this equation with standard equation $x^2=4my$, we get

$4m=8\\\Rightarrow\ m=2$

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

Thus for given equation coordinates of focus=(0,2)