Homework Log Tues 12/8 Lesson Rev Learning Objective: To remember everything in Chapter 4! Hw: #411 P. 268 1 - 47 odd.

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Presentation transcript:

Homework Log Tues 12/8 Lesson Rev Learning Objective: To remember everything in Chapter 4! Hw: #411 P odd

Homework Log Thurs 12/10 Lesson Rev Learning Objective: To remember everything in Chapter 4! Hw: Quiz Correction

Homework Log Thurs 12/10 Lesson Rev Learning Objective: To remember everything in Chapter 4! Hw: Extra Credit WS

12/8/15 Chapter 4 Review Advanced Math/Trig

Learning Objective To remember everything in Chapter 4!

Distance Formula

2. Find the shortest distance between (1, – 2) and the line x = –5. Find the distance between (1, –2 ) and (–5, –2 ) (1, –2) x = –5 (–5, –2)

Graph xy 0 3 –3 – V( 4 –1)

Graph xy –5 –2 0 1 –5 3 4 V(–1 2)

Graph But original equation isn’t a parabola!

Graph

Graph V(–1, –3) (1, 1) (–3, 1)

Graph (3, -1)

Write an equation of a circle

Graph But original equation isn’t a circle!

Test for Symmetry  NO!  Equivalent Eq’n! Yes!  NO!

Transformation

Graph

Graph But original equation isn’t an ellipse

Write an Equation of the Ellipse Shown 15. (–3, 0) (3, 0) (0, –5) (0, 5)

Graph

Graph But original eq’n isn’t a hyperbola V (–7.5, 0)

Write an Equation of the Hyperbola Shown 18. (–2, 0) (2, 0) (0, –3) (0, 3)

Graph (3, –1) (7, –1) (–1, –1) (3, 5) (3, –7)

Graph (0, 1) (3, 1) (–3, 1) (0, 3) (0, –1)

Write a standard equation 3 4

Find Inverse

Verify Inverses

Ratios = 75,000 cm/min

Ratios 100x = 40(15) 100x = oz of water

Variations

Rewrite in Standard Form. Identify the conic 1 44 –36 Hyperbola Opens: x a = 3b = 2 Center (–1, –2)

Rewrite in Standard Form. Identify the conic 16 Parabola Opens Down Vertex (4, –3) AoS: x = 4

Rewrite in Standard Form. Identify the conic Ellipse Major: x a = 4b = 3 Center (2, –4)

Rewrite in Standard Form. Identify the conic