Math 3 Warm Up 3/3/14
Find the center, radius, and equation of the circle for each.1. The diameter of a circle had endpoints at (3, -1)
and (5, 3).
2. Center at (-1, 4) and the point on the circle is (3, 2).You Need your Book!!! NEW SEATS!!!
3 š„2+3 š¦2ā24 š„ā6 š¦ā24=0
Calculatorsā¢If, at the end of class, ALL calculators are
not put up in three neat rows in the bag, then calculator privileges will be revoked for the next day.
Conics: Ellipses Day 1March 3th, 2014
What does an ellipse look like?
Examples of Ellipses in the real world?
Definitionsā¢ Ellipse:
ā¢ Foci:
ā¢ Major Axis:
ā¢ Minor Axis:
ā¢ Vertices:
ā¢ Co-vertices:
The standard form of the equation of an ellipse with center (h, k) is
(šāš)š
šš +(š āš)š
šš =š
When
The major axis is
Length of the major axis is
Length of the minor axis is
Foci: = (h________, k)
Vertices: (h________, k)
Co-vertices: (h, k________)
When
The major axis is
Length of the major axis is
Length of the minor axis is
Foci: = (h, k________)
Vertices: (h, k________)
Co-vertices: (h________, k)
Pg. 638 #16-18Pick up a worksheet from the front!
Math III3/4/13
How do you create an ellipse?3/4/14
What are foci?
Ellipses Day 2: Completing the Square MM3G2a3/5/13
3/5/14 Check your answers for #4 &5 on the worksheet
Ellipses Day 3: MM3G2c3/5/14
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 4
8
6
4
2
-2
-4
-6
-8
-5 5
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 8
6
4
2
-2
-4
-6
-8
-5 5
Write the equation for the ellipse that meets each set of conditions.
3) Foci at (-2, 0) and (2, 0) and a = 78
6
4
2
-2
-4
-6
-8
-5 5
Write the equation for the ellipse that meets each set of conditions.
4) Vertices at (5, -4), (-3, -4), (1, -2), and (1, -6)8
6
4
2
-2
-4
-6
-8
-5 5
Assignment: pg. 638 #19-27 odd, 31-35 semi-major/minor axis: half the axis (either a or b)
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