Write the equation of the sine function with amplitude of 8.5, standard period, phase shift of 90°, and a vertical shift of 12.

Question

Mathematics

Mackenzie Archer

7 July, 13:09

Write the equation of the sine function with amplitude of 8.5, standard period, phase shift of 90°, and a vertical shift of 12.

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Answers (1)

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Brynlee Nelson · Answer 1

- you multiply by the amplitude

- you subtract the phase shift from the sine argument

- you add the vertical shift

So, the regular y=sin (x) becomes:

y = 8.5sin (x-π/2) + 12

90° angle is π/2 because a full circle of 360° maps to 2π.