To calculate: To focus of the reflector above or below the reflector’s bottom edge.
The focus is above the bottom edge of the lamp.
Given information:
Height of concentrate lamp
Width of concentrate lamp
Calculation:
Suppose that the top vertex of the lamp lies at the point
for some
See from the picture that the point
Substitute the known values:
Calculate:
Divide both sides by
The equation of the parabola is as follow:
In general, if
Hence, it must be
Dividing both sides by
Since
Chapter 8 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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