T5.1g To Use The Phase Shift Part 2 12-2-14 T5.1g To Use The Phase Shift Part 2

Active Learning Assignment? Amplitude……….._______ Vertical Translation_______ Period Frequency…_______ Period Length……._______ Phase shift……….._______

OPENER: 5 y = 4 3/2 4π/3 Period π Max “0” Min “0” Max 9 Amplitude……….._______ Vertical Translation_______ Period Frequency…_______ Period Length……._______ Phase shift……….._______ 5 y = 4 4 3/2 -1 4π/3 Beginning ¼ ½ ¾ End Period π Max “0” Min “0” Max

Our standard form: y = a sin b( x – h ) + k LESSON: To Use The Phase Shift Part 2 Our standard form: y = a sin b( x – h ) + k Sometimes you have an equation that looks like this: We need “x” alone, what can we do? We just factor out the ½ ! And we are ready to graph!

What about this: This just means: Which becomes: And we are ready to graph!

We can harness the POWER OF ONE! Sometimes you have an equation that looks like this: We need “x” alone, what can we do? We can harness the POWER OF ONE! We need a denominator of “2”, so multiply π by Now, they have something in common, that can be factored out. And we are ready to graph!

You can always check by just distributing the fraction back in! Let’s try some more (just “fix” the equation): And we are ready to graph! You can always check by just distributing the fraction back in!

And we are ready to graph!

And we are ready to graph!

And we are ready to graph!

Active Learning Assignment: Graph II Handout # 7, 8, 17, 19 Get in Standard Form and GRAPH!!!