Transcription of Section 9.3 The Parabola Objectives
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Section 9.3 The Parabola Objectives
900 Chapter 9 Conic Sections and Analytic as a quadraticequation in and then use the quadratic formula to express in terms of Graph the resulting two equations using agraphing utility in a by viewingrectangle. What effect does the have on the graph ofthe resulting hyperbola? What problems would youencounter if you attempted to write the given equation instandard form by completing the square? and in the same viewingrectangle. Explain why the graphs are not the Thinking ExercisesMake Sense?In Exercises 81 84, determine whether eachstatement makes sense or does not make sense, and explain changed the addition in an ellipse s equation to subtractionand this changed its elongation from horizontal to noticed that the definition of a hyperbola closely resemblesthat of an ellipse in that it depends on the distances betweena set of points in a pla
902 Chapter 9 Conic Sections and Analytic Geometry Square and Subtract from both sides of the equation. Solve for This last equation is called the standard form of the equation of a parabola with its vertex at the origin.There are two such equations, one for a focus on the and one for a focus on the y-axis.
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