Exam 12: Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

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Find the x intercepts of y=2x2+4x5y = - 2 x ^ { 2 } + 4 x - 5 . Separate answers with a comma or state none .

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Write the equation of the circle with center at (6, - 9) and the length of a radius r=147r = 14 \sqrt { 7 } Express the final equation in the form x 2 + y 2 + Dx + Ex + F = 0.

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Graph the parabola. y=12x2y = - \frac { 1 } { 2 } x ^ { 2 }

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Identify the graph of the ellipse. x 2 + 25 y 2 = 25

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Write the equation of the circle with center at ( - 10, 5) and the length of a radius r = 3. Express the final equation in the form x 2 + y 2 + Dx + Ex + F = 0.

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Graph the hyperbola 9 y 2 - 18 y - 16 x 2 = 0.

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Match each item with the correct graph to obtain a true statement. -point

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Find the center of the circle. x 2 + y 2 - 28 x + 38 y = 0.

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Graph the parabola. y=2x25y = - 2 x ^ { 2 } - 5

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Graph the hyperbola. 9x236x4y2=09 x ^ { 2 } - 36 x - 4 y ^ { 2 } = 0

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Identify the graph of the parabola. y = x 2 + 13 x + 14

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The center of 2x24x+y210=02 x ^ { 2 } - 4 x + y ^ { 2 } - 10 = 0 is not at the origin.

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What is the graph of 4 x 2 + 16 y 2 = 25?

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Match each item with the correct graph to obtain a true statement. - ϕ\phi

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Identify the graph of the ellipse. x 2 + 4 y 2 = 36

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Match each item with the correct graph to obtain a true statement. -circle

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Graph the parabola. y=x21y = x ^ { 2 } - 1

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Match each equation with the type of symmetry exhibited by its graph. Do not sketch the graph. -symmetry with respect to the origin

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Write the equation of the circle with center at ( - 13, - 8) and the length of a radius r=53r = 5 \sqrt { 3 } Express the final equation in the form x 2 + y 2 + Dx + Ex + F = 0.

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The graph of y=(x6)24y = ( x - 6 ) ^ { 2 } - 4 is a parabola with the vertex at (6,4)( 6,4 ) .

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