Concept explainers
(a)
To find: What happens to the shape of the parabola, as
(a)
Answer to Problem 35E
This makes the parabola “thinner” or “skinnier”
Explanation of Solution
Given information: Critical Thinking: Consider the standard form of the equation of a parabola in which the vertex is known but the value of p is not known.
Calculation:
As p becomes greater the focus is further and further from the parabola,
This makes the parabola “thinner” or “skinnier”.
(b)
To find: What happens to the shape of the parabola, as
(b)
Answer to Problem 35E
This makes the parabola wider
Explanation of Solution
Given information: Critical Thinking: Consider the standard form of the equation of a parabola in which the vertex is known but the value of p is not known.
Calculation:
The effect of p becoming smaller is that the focus moves close to the vertex.
This makes the parabola wider.
Chapter 10 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
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