Deanna is adjusting a satellite because she finds it is not focusing the incoming radio waves perfectly. The shape of her satell
ite can be modeled by x^2=12y 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?
2 answers:
Answer:
The shape of satellite which is in the shape of parabola, opening upwards is, , having vertex (0,0).
Comparing with general equation of parabola
, having vertex (0,0) and focus (0,a).
Comparing the two above equation of parabola
4 a y = 12 y
4 a = 12
a=3
So, focus of the satellite which is in the shape of parabola=(0,3)
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ANSWER
to the nearest hundredth.
EXPLANATION
We have the equation,
Which can be rewritten as
The question demands the use of the quadratic formula.
Comparing this to the general quadratic equation;
The quadratic formula is given by;
We now substitute all the values in to the formula;
We simplify to obtain;
We now split the plus or minus sign to obtain;
This implies that;
Or
This will evaluate to;
Hence, the positive solution rounded to the nearest hundredth is