The
It has been determined that the conic sections which can be graphed using only one equation, are some rectangular hyperbolas and parabolas with vertical axes.
Given:
The different types of conic sections, their equations and a graphing calculator.
Concept used:
A graphing calculator can be used to graph any equation of the form
Calculation:
The different types of conic sections are
The general equation of a circle is given as
The general equation of an ellipse is given as
The general equation of a hyperbola is given as
However, the equation of a rectangular hyperbola can be written as
The general equation of a parabola with a horizontal axis is given as
However, the general equation of a parabola with a vertical axis is given as
Thus, the conic sections which can be graphed using only one equation, are some rectangular hyperbolas and parabolas with vertical axes.
Conclusion:
It has been determined that the conic sections which can be graphed using only one equation, are some rectangular hyperbolas and parabolas with vertical axes.
Chapter 10 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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