Students fill in the blanks to write the trigonometric equation from the given amplitude, period, phase shift and vertical shift. All questions contain both a period and phase shift.
Download includes the Answer Key and "short cut" process for finding the (bx - c) part of the equation. My students were struggling with finding that part of the equation when there was both a period and phase shift which motivated this creation. They worked in groups of 3. This task (along with a little direct instruction on the first one) corrected their prior errors and they were very successful. They were already good at determining the characteristics from a graph so to isolate the area of struggle I did not include graphs on this page.