(a)
To graph : The antenna twice: once opening upward and one opening left.
Given information :
The parabolic antenna used by a television station to transmit is
Graph :
The focus of the antenna opening upward lies
Here, the focus is
The focus of the antenna opening left lies
Here, the focus is
Interpretation :
The focus of the graph opening upward is
(b)
To determine : Two equations for the antenna's cross section: one of the form
The two equations for the antenna's cross section are
Given information :
The parabolic antenna used by a television station to transmit is
Formula used:
The standard form of equation of a parabola with vertex
The standard form of equation of a parabola with vertex
Explanation :
Consider the standard equation
Substitute
Consider the standard equation
Substitute
Therefore, the two equations for the antenna's cross section are
(c)
To calculate : The depth of the antenna's dish.
The depth of the antenna is
Given information :
The parabolic antenna used by a television station to transmit is
Calculation :
The diameter is
Substitute
Now, substitute
The depth is same by using both the equations, the difference is of the positive and negative sign.
Therefore, the depth of the antenna is
Chapter 8 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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