The function y = −cos(x − π/2) has been transformed from y = cos(x) by:

Right shift π/2 and reflection across x-axis

Left shift π/2 and reflection across y-axis

Which statement about y = cos(2(x + π/6)) is true?

Shift right π/6; period is 2π

Which pair of functions are horizontally shifted versions of each other with the same period and amplitude?

y = sin(x) and y = sin(x − π/6)

Modeling with Phase Shifts: Real-World Trig Translations

Grade 11th

Reviewed by Cierra Henderson

Cierra Henderson, MBA |

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Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.

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