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)

ANSWERS

2016-04-12 08:55:11

The equation is written in the form of a hyperbola (y^2 = 4ax). The focus of a hyperbola is (-a,0) As 4ax = 6x, a = 1.5. Therefore the focus is (-1.5, 0)

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