homework log tues 12/1 lesson 4 – 5 learning objective: to graph translation of ellipses and...
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Learning Objective To graph translation of ellipses To graph translation of hyperbolas To write equations of translated ellipses & hyperbolasTRANSCRIPT
Homework LogTues
12/1
Lesson 4 – 5
Learning Objective: To graph translation of ellipses and hyperbolas
Hw: #406 Pg. 247 #1, 3, 9, 13, 19, 25 - 35 odd (find foci #1,3,9)
12/1/15 Lesson 4 – 5 Translation of Ellipses &
HyperbolasAdvanced Math/Trig
Learning Objective To graph translation of ellipses
To graph translation of hyperbolas
To write equations of translated ellipses & hyperbolas
Standard Equation of Ellipse
Center (h, k) a = major b = minor
Ellipse “a” is the bigger #Foci is always on MAJOR axis
If x is major axis F()If y is major axis F(h, )
Graph 1. Major Axis: yMinor Axis: xa = 4 b = 3 c =
C (1, 2)V ()V (1, –2)CV (–2, CV (4, 2)F (1, )
(1, 2) (4, 2)(–2, 2)
(1, 6)
(1, –2)
Graph2. __+ ___ __+ ___
4 41 4Major Axis: xMinor Axis: ya = 4 b = 2 c =
Graph 2.
C (–2, 1)V (–6, 1)V (2, 1)CV (–2, 3CV (–2, –1)F (–2, 1)
(–2, 1) (2, 1)(–6, 1)
(–2, 3)
(–2, –1)
Major Axis: xMinor Axis: ya = 4 b = 2c =
Write a standard equation
3. Write a standard equation of an ellipse with C(–3, 2) and V(–3, –3) and
V(–3, 7) and endpoints of minor axis at (–5, 2) & (–1, 2)
Major: y Minor: xa = 5 b = 2 2
5
Write a standard equation
4. Write a standard equation of an ellipse with C(0, 0), x – int:
y – int:
Standard Equation of Hyperbola
Center (h, k) *“a” always “positive”*Dot a box with & from the center to find asymptotesFoci is always on the way it “opens”
If opens “x” F()If opens “y” F(h, )
Graph 5. Opens: xa = 3 b = 2 c =
C (–1, 1)V (–) V (2, 1)F (– )
(–1, 1) (2, 1)(–4, 1)
(–1, 3)
(–1, –1)
Graph6. __+ __ _
1 14 –16Opens: y
a = 4 b = 2 c =
Graph 6.
C (2, –1)V (2, –5)V (2, 3)F (2, –1)
Opens: ya = 4 b = 2c =
(2, –1)
(2, 3)
(2, –5)
(4, –1)(0, –1)
Rewrite in Standard Form. Identify as Ellipse, Circle, or
Hyperbola7. __+ _ _
4 361 –1HyperbolaOpens: ya = 3 b = 1Center (2, 1)
Rewrite in Standard Form. Identify as Ellipse, Circle, or
Hyperbola8. __+ __ _
9 814 64EllipseMajor: xa = 4 b = 3Center (3, –2)
Rewrite in Standard Form. Identify as Ellipse, Circle, or
Hyperbola8. __+ __ 16
9 916 16
CircleCenter (–3, 4)Radius =
Ticket Out the Door Write in standard form What shape is it? Graph it. Find vertices and foci
Homework#406 Pg. 247 #1, 3, 9, 13, 19, 25 -
35 odd (find foci #1,3,9)