Chapter 7 : Conic Sections and Parametric Equations

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

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

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

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

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

Graph the ellipse given by the equation above

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

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

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

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