(a)
To determine : The distance of the focus from the vertex.
The distance of the focus from the vertex is
Given information :
Parabolic reflectors with a microphone at the focus allows to listen to sounds from far away. A parabolic microphone has a reflector that is
Explanation :
As the reflector is
So, the focus of the parabolic microphone is
Therefore, the distance of the focus from the vertex is
(b)
To determine : An equation for the cross section of the reflector such that the vertex is at
The required equation is
Given information :
Parabolic reflectors with a microphone at the focus allows to listen to sounds from far away. A parabolic microphone has a reflector that is
Formula used:
The standard equation of a parabola with vertex
Explanation :
The standard equation of a parabola with vertex
The focus of the parabolic microphone is
Therefore, the required equation is
(c)
To graph : The equation for the cross section of the reflector such that the vertex is at
Given information :
Parabolic reflectors with a microphone at the focus allows to listen to sounds from far away. A parabolic microphone has a reflector that is
Graph :
The equation for the cross section of the reflector such that the vertex is at
Graph the equation.
Interpretation :
The vertex is at
Chapter 8 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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