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Given the following equation, answer questions a-c in the blank boxes below: _ 1 x Y 2 ( a) 9 a)State the y-intercept. Write your answer in the first box using (x,y) format. b)State the equation of the horizontal asymptote. Write your answer in the second box is y=HA format. c)State if the function is increasing or decreasing as x increases. Write your answer in the third box. A penguin is swimming in the ocean. The bird is jumping in and out of the water. Its movement is approximated by the equationzh = 4 Si(30(x + 7)) 2, where h=height(m) above the waterline, and t=time(s). The equation was modeled in degrees. You can assume 1 degree = 1 second. Let t=0 be the starting point of measurement. Answer the following questions in the blank boxes below: a)What was the maximum depth that the penguin can dive underwater? Place your answer in the first box. b)What is the maximum height that the penguin can jump above the waterline? Place your answer in the second box. c)What is the period of the penguin's swim pattern? Place your answer in the third box. d)What is the depth or height of the penguin at t=6 seconds? Place your answer in the fourth box. d)What is the depth or height of the penguin at t=6 seconds? Place your answer in the fourth box. Blank#3[ ] AV