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COURSE TITLE: Pre-Calculus (Honors)
* apply parametric equations to solve problems * use parametric equations with the graphing calculator. M. Students will understand the polar coordinate system. Upon completing this goal the student will be able to: * convert points in rectangular form to polar form and vice versa * convert rectangular equations to polar form and vice versa
parametric equation of a parabola

[DOCX File]Weebly
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Know how to graph parametric equations by hand as well as using the graphing calculator, including correct window settings. Parameterize a line, line segment, or circle (this means find a pair of parametric equations). Eliminate the parameter and identify and describe the graph. This could be a line, line segment, circle, semicircle, parabola (opening up, down, left, or right), ellipse. Use ...
parametric form equation

[DOC File]9-1 Sequence and Summation Notation
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A parabola if B. A hyperbola if B. Section 9.5 Parametric Equations. If f and g are continuous functions of t on an interval I, then the set of ordered pairs (f(t),g(t)) is a plane curve C. The equations x=f(t) and y=g(t) are parametric equations for C and t is the parameter. You should be able to graph plane curves with your graphing utility
how to graph a parabola

[DOC File]Conic Notes
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The tangent line to a parabola at point P makes equal angles with the following two lines: 1. The line passing through P and the focus. 2. The axis of the parabola. Eccentricty of a Parabola: The eccentricity ( how much it deviates from being circular) of a parabola is 1. Circles- The set of all points in a plane that are equidistant from a given point called the center. (x – h) +(y – k ...
parametric equation of a paraboloid

[DOCX File]VOCABULARY: conic, parabola, ellipse, hyperbola, …
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14.Eliminate the parameter of a parametric equation, write the rectangular equation and graph the curve. 15.Find the parametric equations for a given line, conic, or graph. 16.Use directed distance and directed angle to plot points in the polar coordinate system. 17.Convert coordinates from polar to rectangular.
parametric formula

[DOC File]Section 8
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This particular graph also appears to be a parabola where x is a function of y, which we will soon verify. While creating a t-x-y table, plotting points and connecting the dots with a smooth curve usually works to give us a rough idea of what the graph of a system of parametric equations looks like, it's generally easier to use technology to create these tables and (simultaneously) much nicer ...
equation of a parabola

[DOC File]MATHEMATICS
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4. a = 0 or b= 0 and h = 0 (parabola) c) be able to convert general equation of 2nd degree in the form of equation of a particular conic (circle, parabola, ellipse and hyperbola) in standard form by translation and rotation of axes and find their elements. d) be able to find equations of a tangent at a point to a conic represented by general equation of second degree. e) to know that the ...
examples of parabolas

[DOC File]Monday, April 10
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III. Write an equation for each ellipse or parabola. 14) 15) 16) an vertical ellipse with a = 6, c = 5, center (2, -3) 17) a parabola with the vertex at (0, 8) and . a point on the graph is (12, 0). IV. Convert the rectangular equations to parametric equations. Use the given Parameters. 18) 19) 20)
parabola parametric form

[DOC File]Tips for Beginners for the TI 89 Calculator
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To make a parametric graph (p. 115-20) key MODE Graph = 2: parametric. A parametric graph is made on the x-y axis by defining x = f(t) & separately y = f(t). Thus in parametric mode, you must type in a pair of equations. E.g. in Y= xt1 = sin 2t. yt1 = sin 3t. To view the graph of the above set x & y min/max = ±1 & use radian mode. You will get a pretty Lissajous figure. You must use t (not x ...
parametric equation of a parabola

[DOC File]Elimate the parameter and graph the parametric …
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Convert each into rectangular form. r = 5 . r = 8sinθ . r2 = cos2θ . Sketch each of the below graphs . r = 5cosθ . r = 3 – 5sinθ . r2 = 5sin2θ . r = -3cos2θ . r = cos5θ . Find a polar equation of each conic section with its focus at the pole and the given vertex/vertices and graph each. Parabola …
parametric form equation

Convert parabola to parametric