Mathematics, 14.01.2020 01:31 azariahbelfield
Samara is adjusting a satellite because she finds it is not focusing the incoming radio waves perfectly. the shape of her satellite can be modeled by (y-3)^2=8(x-4)where x and y are modeled in inches. she 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?
a. (β3, β6)
b. (β3, β4)
c. (3, 6)
d. (6, 3)
Answers: 3
![\bf \textit{parabola vertex form with focus point distance} \\\\ \begin{array}{llll} 4p(x- h)=(y- k)^2 \\\\ 4p(y- k)=(x- h)^2 \end{array} \qquad \begin{array}{llll} vertex\ ( h, k)\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (y-3)^2=8(x-4)\implies (y-\stackrel{k}{3})^2=4(\stackrel{p}{2})(x-\stackrel{h}{4})~~ \begin{cases} \stackrel{vertex}{(4,3)}\\ p=2 \end{cases}](/tpl/images/0453/6289/0b007.png)
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Samara is adjusting a satellite because she finds it is not focusing the incoming radio waves perfec...
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