Chapter 7 : Conic Sections and Parametric Equations

Identify the vertex for (x + 3)² = −8(y − 2).

• (3, −2)

• (−3, 2)

• (−3, −6)

• (−3, 6)

Identify the focus for (y − 1)² = 2(x − 5).

• (4.5, 1)

• (5, 1.5)

• (5, 0.5)

• (5.5, 1)

Identify the directrix for (x + 7)² = 22(y + 9).

• y = −14.5

• y = −4.5

• y = 14.5

• y = 4.5

Graph the parabola given by (x + 1)² = 4(y − 6)

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Graph the parabola given by (y + 3)² = 16x

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Graph the ellipse given by the equation above

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Graph the ellipse given by 9x² + 25y² + 72x − 50y − 731 = 0.

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Write the equation for an ellipse with major axis from (−3, 8) to (7, 8) and minor axis from (2, 5) to (2, 11).

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Write the equation for an ellipse with foci at (4, −2) and (4, −10) and major axis of length 10.

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Determine the eccentricity of the ellipse given by the equation above.

• 0.47

• 0.55

• 0.51

• 0.58