Warm – up #2. Homework Log Thurs 11/19 Lesson 4 – 2 Learning Objective: To determine symmetry & graph by translation Hw: #403 Pg. 228 #1 – 35 odd.

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Warm – up #2

Homework Log Thurs 11/19 Lesson 4 – 2 Learning Objective: To determine symmetry & graph by translation Hw: #403 Pg. 228 #1 – 35 odd

11/19/15 Lesson 4 – 2 Symmetry & Translation Advanced Math/Trig

Learning Objective To determine symmetry To graph by transformation

Symmetric with respect to: (2, 4)(–2, 4) y-axis (4, 2) (4, –2) (1, 1) (–1, –1) x-axisorigin (x, y)  (–x, y)(x, y)  (x, –y)(x, y)  (–x, –y) When plugging in with (–), should get equivalent equation!

Hints for checking for symmetry

Symmetry 1. Given the portion of the graph. Complete the graph so it’s symmetric with respect to the y–axis. (x, y)  (–x, y) (0, 3)  (0, 3) (1, 0)  (–1, 0) (1, 0) (0, 3) (1, 0) (0, 3) (–1, 0)

Symmetry 2. Given the portion of the graph. Complete the graph so it’s symmetric with respect to the x–axis. (x, y)  (x, –y) (0, 3)  (0, –3) (1, 0)  (1, 0) (1, 0) (0, 3) (1, 0) (0, 3) (0, –3)

Symmetry 3. Given the portion of the graph. Complete the graph so it’s symmetric with respect to the origin. (x, y)  (–x, –y) (0, 3)  (0, –3) (1, 0)  (–1, 0) (1, 0) (0, 3) (1, 0) (0, 3) (0, –3) (–1, 0)

Hints for checking for symmetry

Test for Symmetry & Graph  Equivalent Eq’n! Yes!

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

Test for Symmetry & Graph xy –2 – ( 0 0)

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

Test for Symmetry & Graph  NO!  Equivalent Eq’n! Yes!  NO! (0, 0) (1, 1) (–1, –1)

Stretching

Reflection (1, 1) (–1, –1) (1, –1) (–1, 1)

Translation

Translation Inside of parenthesis, opposite sign

Transformation 12. y = f (x) is shown. Sketch y = 2 f (x) Sketch y = f (x) – 2 Sketch y = f (x + 5) Sketch y = – f (x)

Ticket Out the Door Simplify

Homework #403 Pg. 228 #1 – 35 odd