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Published byBritton Murphy Modified over 4 years ago

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Ellipses (page 7) General form is Ax 2 + Bxy + Cy 2 + Dx + Ey + F = 0 where A ≠ C and A and C are same sign

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Standard form: Major Axis: Center: ‘a’: ‘b’: Vertices: Covertices: The variable with the longest axis Distance in the x direction Distance in the y direction Endpoints of the major axis Endpoints of the minor axis

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Ex. Write the equation of the ellipse. 1)Find the center 2)Find a and b 3)Simplify

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1) Write the equation of the ellipse.

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2) Write the equation of the ellipse.

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To graph, we may need to put the equation into standard form. This may require us to complete the square for the x terms and the y terms. Notice that standard form has everything equal to 1.

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1) Graph the ellipse Length of major axis: Length of minor axis: Horizontal or vertical:

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2) Graph the ellipse 16x 2 + 32x = -y 2

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3) Graph the ellipse 4x 2 + 9y 2 – 16x + 54y + 61 = 0

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