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Relative to the sinusoidal axes (dotted lines) what is the equation of this sinusoid?

Relative To The Sinusoidal Axes Dotted Lines What Is The Equation Of This Sinusoid class=

Sagot :

Step-by-step explanation:

We know that the function period is 3 so the b value is

[tex] \frac{2\pi}{b} = 3[/tex]

[tex]b = \frac{2\pi}{3} [/tex]

So our b is 2 pi/3.

The midline is -3 and the amplitude is 2.Since this function isn't symmetric about y axis, and looks symmetric about orgin, we trig function will be Sine so we have

[tex]2 \sin ( \frac{2\pi}{3}x ) - 3[/tex]

The function passes through 0,-3 and our function on the graph passes through 1,-3 so we shift one unit to left.

[tex]2 \sin(\frac{2\pi}{3}(x + 1) ) - 3[/tex]

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