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chaotic_butterflies
 one year ago
Multiple choice  What sine function represents an amplitude of 4, a period of pi/2, no horizontal shift, and a vertical shift of −3?
chaotic_butterflies
 one year ago
Multiple choice  What sine function represents an amplitude of 4, a period of pi/2, no horizontal shift, and a vertical shift of −3?

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chaotic_butterflies
 one year ago
Best ResponseYou've already chosen the best response.0a)f(x) = 3 sin 4x +4 b) f(x)= 4 sin 4x 3 c) f(x) = 4 sin (pi/2) x 3 d) f(x) = 3 sin (pi/2) x + 4

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0For the function \[\large a ~sin (bxc)+d\] \[\large amplitude= \left a \right\]\[\large period=\frac{2\pi}{b}\]\[\large vertical ~shift = d\]

chaotic_butterflies
 one year ago
Best ResponseYou've already chosen the best response.0I'm not exactly sure how to plug in the inside of the parentheses. So far I have \[\left 4 \right \sin (???)  3\] @LegendarySadist

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You can disregard the c in this example, as it's used for the phase shift, aka horizontal shift. So the b will be the integer before the \(x\)

chaotic_butterflies
 one year ago
Best ResponseYou've already chosen the best response.0I knew that c was the horizontal shift, but what exactly is b?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0b is just the number before the x. For option #2, b is 4 and for option #3 b is \(\large \frac{\pi}{2}\)

chaotic_butterflies
 one year ago
Best ResponseYou've already chosen the best response.0I can see that b is before x, but I don't understand what I should plug in for b, or how to figure that out.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So we are looking for b, and we know the period. We'd set it up like this. \[\large \frac{2\pi}{b}=\frac{\pi}{2}\] Now cross multiply and solve for b

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\large \frac{2\pi}{2} = \frac{\pi}{2}\\\large \pi = \frac{\pi}{2}?\] No b is not 2

chaotic_butterflies
 one year ago
Best ResponseYou've already chosen the best response.0Herp, I forgot to multiply 2pi by pi!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\large \frac{2\pi}{b} = \frac{\pi}{2}\] Cross multiplying will get you \[\large 4\pi=\pi b\]

chaotic_butterflies
 one year ago
Best ResponseYou've already chosen the best response.0Can't you then just cancel out the pi's and get 4 = b?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yep, that would be it. Good job :)

chaotic_butterflies
 one year ago
Best ResponseYou've already chosen the best response.0Thank you very much!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\huge \color{aqua}N\color{fuchsia}o \space \color{lime}P \color{orange}r \color{blue}o \color{maroon}b \color{red}l \color{olive}e \color{purple}m \ddot\smile \]
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