Question

Please Help!!! Will give brainliest.

A satellite dish is being designed so that it can pick up radio waves coming from space. The satellite dish will be in the shape of a parabola and will be positioned above the ground such that its focus is 40 ft above the ground. Using the ground as the x-axis, where should the base of the satellite be positioned? Which equation best describes the equation of the satellite?

(0, 20); y = one over eightyx2 + 20
(0, 10); y = one over one hundred twentyx2 + 10
(0, 20); y = one over eightyx2 − 20
(0, 10); y = one over one hundred twentyx2 − 10

Answer 1

Answer:

Ss the correct asnwers is:

(0,20) ; y = (x²/80) + 20

Step-by-step explanation:

Given that:

Shape of the satellite dish = parabola

Focus of the satellite dish = 40ft above the ground

Let the point on ground be (0,0)

Let the point of Focus be (0,40)

Base is at equal distance from the ground and the focus that is the vertex is at (h,k) = (0,20)

Equation of satellite can be obtained as:

(x - h)² = 4a(y - k)

as (h,k) = (0,20) , a=20

(x - 0)² = 4(20)(y - 20)

x² = 80( y - 20)

x² = 80y - 1600

y = (x²/80) + 20

Answer 2

Answer:

A

Step-by-step explanation: