Center (-4, -6); Point of Tangency (-4, -9) Math 3 Warm Up 3/4/13 Find the equation of the tangent line with the given center and pt of tangency. Center (-4, -6); Point of Tangency (-4, -9) Find the equation of the tangent line to the given circle at the point. 2. (𝑥+9) 2 + (𝑦+5) 2 =100; (-15, 3)

Conics: Ellipses Day 1 March 4th, 2013

What does an ellipse look like? Examples of Ellipses in the real world?

Definitions Ellipse: Foci: Major Axis: Minor Axis: Vertices: Co-vertices:

The standard form of the equation of an ellipse with center (h, k) is (𝑥−ℎ) 2 𝑎 2 + (𝑦−𝑘) 2 𝑏 2 =1

Length of the major axis is Length of the minor axis is When 𝑎 2 > 𝑏 2 The major axis is Length of the major axis is Length of the minor axis is Foci: 𝑐 2 = (h________, k) Vertices: (h________, k) Co-vertices: (h, k________)  

When 𝑏 2 > 𝑎 2 The major axis is Length of the major axis is Length of the minor axis is Foci: 𝑐 2 = (h, k________) Vertices: (h, k________) Co-vertices: (h________, k)

Assignment: pg. 637 # 19-21, 23-29 odd