PRE-CALC FINAL EXAM PART 1. (PLEASE SHOW WORK)

1 of 21 What is an equation for the cosine graph shown below? -12 11 10 -135 -90 -45 45 90 135 180 225 O y = 4 cos(0 - 90*) + 8 O y = 4 cos[2(0 - 135* )] + 8 O y = 8 cos(0 - 135') + 4 O y = 4 cos(0 - 135 ) + 12\f3 of 21 At a seaport, the depth of the water during the day can be found using the equation (# - 8) )+ 14 h = 6.0 cos (2# 12.4 ) where h is the depth of water in feet and + is the number of hours after midnight. At 8:30pm what will be the water's height? O 19.77 feet O 15.23 feet O 11.36 feet O 19.99 feet4 of 21 Which of the following is not an identity? I. tana + cot x = sec I CBC I Il. cost x = sin x(csex + sinz) Ill. sin'x = cosa(sec x - cost) OI O ll and Ill O II O III\f6 of 21 If a parabola's focus is at (3,8) and directrix is at y = 2, what is the vertex form of the equation representing this parabola? O y= - 1(2+3) -5 O y= #(x -3)2 +5 O y= 4(x -3)2 +3 O y= 4(x+ 3)3 +87 of 21 Find the centre and radius of the circle a ty' - 4x + 6y -23 = 0. O centre (2, -3), radius 6 O centre (-2, -3), radius v6 O centre (3, 2), radius v6 O centre (2, -3), radius v6\f9 of 21 Convert the following parametric curve into Cartesian form: * = 3sint, y = 4sint O =1 4 Outy = 12 O 4x' + 3y' = 1 O None of these.10 of 21 Which of the following graphs represents the polar equation defined by: " - 2+ 2sing? O O O