Appendix C- Part 2 Graphs of Second Degree Equations.
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Transcript of Appendix C- Part 2 Graphs of Second Degree Equations.
Appendix C- Part 2Graphs of Second Degree
Equations
Today, we will review 2nd Degree equations such as:
Today, we will review 2nd Degree equations such as:
Today, we will review 2nd Degree equations such as:
Ellipse
Today, we will review 2nd Degree equations such as:
Today, we will review 2nd Degree equations such as:
Hyperbola
Ellipse:
Ellipse:
Ellipse:
If the equation can be placed in this form, then:
Ellipse:
If the equation can be placed in this form, then:
Ellipse:
If the equation can be placed in this form, then:
Ellipse:
If the equation can be placed in this form, then:
Example:
Example:
Example:
Discussion:
Discussion:
• Which axis is the major axis?
Discussion:
• Which axis is the major axis?
• Length of the major axis is always?
Hyperbola:
Hyperbola:
Hyperbola:
Hyperbola:
Example:
Example:
List equation of the asymptotes:
Rectangular Hyperbola:
Rectangular Hyperbola:
Rectangular Hyperbola:
If k is a positive value, then the curve
lies in quadrants 1 and 3.
Rectangular Hyperbola:
If k is a negative value, then the curve
lies in quadrants 2 and 4.
Rectangular Hyperbola:
All curves of this type have asymptotes with
equations: x = 0 and y = 0
Recognize shifted conics:
Recognize shifted conics:
Recognize shifted rectangular Hyperbola:
Recognize shifted rectangular Hyperbola:
Example:
Find equations of both asymptotes:
Assignment:
Page A 2313-31 odd, 35 Make sketches for 13 – 21 odd and for the rest just identify the type of curve (hyperbola, ellipse, circle, or parabola).