What is the shift f(x)=7sin(pi/6 (x-4))+56 ?

The shift f(x)=7sin(pi/6 (x-4))+56 is Phase:4, Vertical:56

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shift f(x)=7sin(pi/6 (x-4))+56

shift

f (x) = 7 sin (\frac{π}{6} (x - 4)) + 56

Phase : 4, Vertical : 56

Solution steps

f (x) = 7 sin (\frac{π}{6} (x - 4)) + 56

g (B x - C) = sin (\frac{π}{6} (x - 4)), B = \frac{π}{6}, C = \frac{2 π}{3}, D = 56

Therefore, the phase shift

\frac{C}{B}

\frac{\frac{2 π}{3}}{\frac{π}{6}}

4

The vertical shift

D

56

56

y = \frac{27 - 3 x ^{2}}{x ^{2} - 1}

(- 1, 4), (8, 2)

f (x) = \frac{x + 17}{x - 15}

f (x) = \frac{7}{( x - 4 ) ^{2}}

x^{2} + y^{2} = 4

What is the shift f(x)=7sin(pi/6 (x-4))+56 ?
The shift f(x)=7sin(pi/6 (x-4))+56 is Phase:4, Vertical:56