Concept explainers
To find: the equation of the parabola.
Answer to Problem 37E
The equation of parabola is
Explanation of Solution
The equation of parabola is
Given information:
Vertex
Focus on the positive x-axis,
Calculation:because it is given that focus is on the positive x-axis, so the parabola should be with horizontal axis and
So the equation of parabola should be in the following form,
For parabola with horizontal axis, directrix is
For parabola with horizontal axis focus is
Distance between directrix and focus =
Focus and directrix has equal distance from the origin, so focus is 2 unit away from the directrix, so focus should be
So, by comparing focus
So the equation of parabola is,
Hence, the equation of parabola is
Chapter 11 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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