Warm – up #3 1. Test for Symmetry: xy = 4 y–axis(–x)(y) = 4 NO! x–axis(x)(–y) = 4 NO! Origin(–x)(–y) = 4 YES! So it’s symmetric about the origin –xy.

Warm – up #31. Test for Symmetry: xy = 4y–axis (–x)(y) = 4NO!x–axis (x)(–y) = 4NO!Origin (–x)(–y) = 4YES!So it’s symmetric about the origin

–xy = 4

–xy = 4

xy = 4

Homework LogFri

11/20

Lesson 4 – 3

Learning Objective: To find everything about ellipse

Hw: #404 Pg. 234 1 – 25 odd (find foci on 1 – 11)

11/3/15 Lesson 3 – 2 Difference Quotients & Function Graphs Day 2

Advanced Math/Trig

Learning Objective To graph ellipse To find vertices & co-vertices

To find foci To write equation of ellipse

Standard Equation of Ellipse

or on major axis (bigger one) on minor axis (smaller one)Foci is always on MAJOR axis If x is major axis F()

If y is major axis F(0, )

Graph 1. 36 36 36

Major Axis: xMinor Axis: ya = 3 b = 2 c =

Center: (0, 0)Vertices: ()Co-Vertices: (0, Foci: (, 0)

Graph 2. 25 25 25

Major Axis: yMinor Axis: xa = b = c =

Center: (0, 0)Vertices: ()Co-Vertices: (Foci: ()

Graph 3.

Major Axis: xMinor Axis: ya = b = c =

Center: (0, 0)Vertices: ()Co-Vertices: (Foci: (, 0)

Graph4.

Major Axis: yMinor Axis: xa = 1 b =

But original equation isn’t an ellipse2y 0y 0

Graph5.

Major Axis: xMinor Axis: ya = b =

But original equation isn’t an ellipse3y 0y 0

Write an Equation of the Ellipse Shown

6. Major Axis: yMinor Axis: xa = b =

(0, 6)

(0, –6)

(3, 0)(–3, 0)

Write an Equation of the Ellipse Shown

7. Major Axis: xMinor Axis: ya = b =

(–5, 0) (5, 0)

(0, –1)

(0, 1)

Ticket Out the Door Graph Explain WHY your graph makes sense

Homework#404 Pg. 234 1 – 25 odd

(find foci on 1 – 11)