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anonymous
 one year ago
What are the amplitude, period, phase shift, and midline of f(x) = 3 sin(4x  π) + 2? (5 points)
anonymous
 one year ago
What are the amplitude, period, phase shift, and midline of f(x) = 3 sin(4x  π) + 2? (5 points)

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freckles
 one year ago
Best ResponseYou've already chosen the best response.1what do you think the amp is?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1that is all you really have to know to get this question

freckles
 one year ago
Best ResponseYou've already chosen the best response.1oh I thought you would know how because it is the easiest thing to find it is the absolute value of the constant number being multiplied to the trig function there

freckles
 one year ago
Best ResponseYou've already chosen the best response.1you are done because there is only one option with amp=3

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0http://gyazo.com/0060f7a559b9d1fb6d4bef7b957a2c03 is that answer right

Owlcoffee
 one year ago
Best ResponseYou've already chosen the best response.0in any trigonometric equality with the form: \[y=Asin(ax+ \alpha) \] The amplitude is the number "A" and you can calculate the period with: \[p=\frac{ 2 \pi }{ a }\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.1you mean the amp=A?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1\[y=A \sin(bx+c)+d \\ \text{ amp } =A \\ \text{ period } =\frac{2 \pi}{b} \\ \\ \text{ phase shift : } \text{ solve for } x : bx+c=0 \\ \text{ max if } A \text{ is } \text{ positive is } A(1)+d=A+d \\ \text{ min if } A \text{ is } \text{ positive is } A(1)+d=A+d \\ \text{ so the average the of max and min is }=\frac{(A+d)+(A+d)}{2}=\frac{2d}{2}=d \\ \text{ the midline is therefore } y=d\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thank you for all of that

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0was my answer correct for the other 1?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1oh yep you can apply the same information I just gave to that one you have period is 2pi 2pi=2pi/b means b=1 which means b=1 or b=1 phase shift (think horizontal shift): solve inside=0 to get phase shift and as you see xpi=0 gives x=pi so pi is the phase shift the vertical shift is yes the number hanging outside the d=4
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