Math  /  Trigonometry

QuestionFind an equation for the graph shown to the right.
Type the equation in the form y=Asin(ωx)y=A \sin (\omega x) or y=Acos(ωx)y=A \cos (\omega x). y=\mathrm{y}=\square (Type an exact answer, using π\pi as needed. Use integers or fractions for any numbers in the expression.)

Studdy Solution
The graph appears to start at a maximum point at x=9 x = -9 , which is characteristic of a cosine function.
Therefore, the equation is in the form y=Acos(ωx) y = A \cos(\omega x) .
Substitute the values of A A and ω \omega into the equation:
y=10cos(π9x) y = 10 \cos\left(\frac{\pi}{9} x\right) .
The equation for the graph is:
y=10cos(π9x) \boxed{y = 10 \cos\left(\frac{\pi}{9} x\right)}

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