10. Given the base function y = sin(x), complete the missing cells in the following table. In cases where the equation is not provided, write the missing equation, [6 marks] Equation Amplitude Phase Shift Vertical Shift Period y = 2sin(x) + 5 y = sin(2(x - 30 )) - 2 yum(3(x+60))-1 4 Right 45 Up 1 180 2 Left 90 Down 3 720 Right 60 none 90 11. At a popular pier for ocean swimming, the average depth of the water at low tide is 1 m. The average depth of the water at high tide is 10 m. One complete cycle takes 12 hours. a) Determine the equation of the cosine wave that models the tide, beginning at high tide. [2 marks]b) Draw a graph that shows the height of the tide over a 24-hour period. Assume that high tide is at 0000 hours (midnight). Make sure to label your axes. [4 marks] c) What is the depth of the water at 0200 hours (2:00 am)? [1 mark] d) Many people dive from this pier during the day. The water must be at least 3m deep for them to dive safely. Between what daylight hours should people dive? [1 mark]