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PreCalculus Q&A
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page 36 of the review packet. Just in I have a for #4 page 37 of the review packet. Just in I have e for #15. page 38 of the review packet. Just in I have c-#17, a-#18, e-#19, a-#22, e-#24. page 39 of the review packet. Just in I have a-#27, d-#28, c-#29, e-#30 page 40 page 42 page 43 page 66 page 67
y=�(x) is your regular function.
y=-�(x) is the x-axis reflection, all functions apply.
y=�(-x) is the y-axis reflection, all apply except sec & cos.
y=a�(x) ia an amplitude change.
y=�(bx) is a period change.
y=a�(bx) is an amplitude/period change.
y=�(x+c) is a phase shift (x-axis).
y=�(x)+d is a slide of the y-axis.
y=a�(bx+c)=d is the basic function formula.
Four steps to helping yourselves out.
1) Amplitude change... (Old Amp.)x(|a|)
2) Period change...... (Old period)/b
3) Key pts............ (New period)x{1/4,1/2,3/4,1} or {1/2,1}
4) Phase shift........ (-c)/b then add to answers to #3
Trigonomic Functions