Concept explainers
(a)
To write: The equation of a parabola with vertex at
(a)
Answer to Problem 38E
Explanation of Solution
Given information: Critical Thinking: The Latus rectum of a parabola is the line segment through the focus that is perpendicular to the axis has endpoints on the parabola. The length of the latus rectum is
Calculation:
The vertex and axis give us the base formula:
This gives us 2 options:
(b)
To write: The equation of the circle, if the latus rectum of the parabola with equation
(b)
Answer to Problem 38E
Explanation of Solution
Given information: Critical Thinking: The Latus rectum of a parabola is the line segment through the focus that is perpendicular to the axis has endpoints on the parabola. The length of the latus rectum is
Calculation:
Since the vertex of the parabola is
Since the latus rectum is 16 long, this makes the radius of the circle 8.
This gives the equation:
Chapter 10 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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