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Published byRussell Jones Modified over 5 years ago

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Warm Up Rewrite each equation in information form. Then, graph and find the coordinates of all focal points. 1) 9x 2 + 4y 2 + 36x - 8y + 4 = 0 2) y 2 - 4x 2 - 8x - 18y + 13 = 0 3) Write an equation of the parabola described. a) Directrix: y = -2 and vertex (1, 3) b) Focus (-4, 5), Directrix: x = 0

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Homework Questions?

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Trashketball

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Calculator active/neutral 1)Convert the point (-5, -12) to polar form. (remember no negative angles) 2)Convert the point (5, 5.5 r ) to rectangular form.

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1) Complete the three polar points so that they will have the same graphic representation as (-3, 100 ), but different numerical values for the angle. A. (-3, ________ ) B. (3, +_______ ) C. (3, -_______ ) 2) Convert the rectangular equation to polar form (solve for r). x 2 + y 2 -2x + 3y = 0 NO CALCULATOR

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1) Convert to rectangular: a)( 2, 240 ) b) (-3,3π/4) c) (1, -210 ) 2) Convert the polar equation to rectangular. r = 5cosθ NO CALCULATOR

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1)Determine the polar coordinates of (-4, 4) (Remember: no negative angles) 2) Complete the ordered pairs for points on the graph of r = 3 + 3cosθ a) ( ____, 0º) b) ( _____, 60º) c) (_____, 180º) NO CALCULATOR

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Given r = mcos(nθ) explain the effect of m and n on the graph NO CALCULATOR

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1) y = -¼(x – 3) 2 + 1 2) x = 4y 2 + 16y + 19 What is the vertex, focus and directrix of the parabola with equation given… NO CALCULATOR

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1) What are the foci of the ellipse with equation x 2 + 4y 2 = 36? 2) What type of conic is the graph of x 2 + 25y 2 = 50? State the center. 3)What type of conic is the graph of x 2 – y 2 – 2x – 4y = 28? State the center. NO CALCULATOR

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No Calculator Give the special name and graph each of the following… 1)r = 4cos(3θ) 2) r = 1 + 3sinθ 3) r = -3sinθ

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Find the foci, length of the transverse and conjugate axes, and equations of the asymptotes of the hyperbola with equation

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Write an equation of the conic section described. 1)parabola with focus (-2, 4) and directrix y = 0. 2)Ellipse with endpoints of the major axis (-2, 5) and (-2, -1) and foci (-2, 4) and (-2, 0)

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For the ellipse: 4(x + 4) 2 + 9(y – 1) 2 = 36, graph and determine the length of the major and minor axes. Also determine the coordinates of the foci.

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For the hyperbola: 4x 2 – y 2 + 8x – 6y = 9, graph, determine the length of transverse and conjugate axes, foci and equation of the asymptotes.

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