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11/3/15 Lesson 3 – 2 Difference Quotients & Function Graphs Day 2 Advanced Math/Trig
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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)