Get out Homework from Monday March 7 th

Get out Homework from Monday March 7 th, 2012

Homework Questions

Review of Ellipses Standard Form: Length of Major Axis: If a is bigger: If b is bigger: Vertices (all 4): Foci: Center: Length of Minor Axis: If a is bigger: If b is bigger:

Write the equation for the ellipse that meets each set of conditions. 1) Center at (2, -3), the length of the horizontal major axis is 6 and the length of the minor axis is 10

Write the equation for the ellipse that meets each set of conditions. 2) Center at (-2, 3), the length of the vertical major axis is 12 and the length of the minor axis is 4

Write the equation for the ellipse that meets each set of conditions. 3) Foci at (-2, 0) and (2, 0) and a = 7

Write the equation for the ellipse that meets each set of conditions. 4) Vertices at (5, -4), (-3, 4), (1, -2), and (1, -6)

March 7, 2012 HYPERBOLA: DAY 1

Hyperbola: set of all points in the plane in which the difference of the distance from 2 distinct fixed points, called foci (F 1 and F 2), is constant. Center: the midpoint of the line segment whose endpoints are the foci

Transverse Axis: Conjugate Axis:

Hyperbola Standard Form: Center: Foci: Vertices: Transverse axis:

Hyperbola Standard Form: Center: Foci: Vertices: Transverse axis:

Example 1: Find the equation of the hyperbola with foci at (7, 1) and (-3, 1) whose transverse axis is 8 units long. Hint: Sketch a graph