1. x2+ 4x + y2+ 8y - 61 = 0

Enter the center as an order pair (x,y)

The center is ----

The Radii is ------

2.A child enter a carousel that takes one minute to revolve once around. The child enter at the point (0,1) that is on the due north position. Assume the carousel revolve counterclockwise.what are the coordinate of the child after 30 seconds.

Enter answer as a point (a, b)

3.The equation P = 20 sin (2t) + 100 models the blood pressure , P , where t represent time in seconds.

(A)Find the blood pressure after 35 seconds.

What are the maximum and minimum blood pressure?

Enter the exact answers.

4. Consider the function F(x) = 2 sin (/4 (x-5)) + 6 . State the amplitude A, period P and midline. State the the phase shift and vertical translation in the full period [ O, P], state the maximum and minimum y- value and their corresponding x - values.

Amplitude A =

Period P =

Midline Y =

The phase shift is =

The vertical translation =

For x in the interval [ O, P] , the maximum y- value and corresponding x - value at

X =

Y =

For x in the interval [ O, P] the minimum y - value and corresponding x - value is at

X. =

Y =