Please answer the 9 questions, and for any formulas, PLEASE only use the formula sheet provided.

Mathematics 30-1 Formula Sheet For ax' + bx + c = 0, Trigonometry x = =bzyb - 4ac 2a 0 = a Relations and Functions tan 0 = sin 0 cot 0 = cos 0 cos 0 sin 0 Graphing Calculator Window Format csc 0 = - 1 1 sin 0 sec 0 = - cos 0 x: [Xmin, Xmax, Xsci ] cot 0 = 1 y: [ymin, ymax, ysci ] tan 0 Laws of Logarithms sin 0 + cos 0 = 1 1 + tan'0 = sec20 log. (M X N) = log,M + log.N 1 + cot20 = csc20 (M ) = log,M - log .N log. (M") = nlog.M sin (a + B) = sina cos B + cosa sin B logbc = log.C logab sin(a - B) = sin a cos B - cosa sin B cos (a + B) = cosa cos B - sin a sin B Growth/Decay Formula cos(a - B) = cosa cos B + sin a sin B y = abp tan (a + B) = tan a + tan B 1 - tan a tan B General Form of a Transformed Function tan (a - B) =- tana - tan B 1 + tan a tan B sin(2a) = 2 sin a cos a y = aflb(x - h) ]+ k cos(2a) = costa - sina Permutations, Combinations, cos (2a) = 2 costa - 1 and the Binomial Theorem cos (2a) = 1 - 2 sina tan(2a) = 2 tana n! = n(n - 1)(n - 2)...3 X 2 X 1, 1 - tan a where n E N and 0! = 1 y = asin[b(x - c)]+ d n! "P. =(n-r)! y = a cos[b(x - c)]+ d C,= n! (n - r)!r! "C, = (n) In the expansion of (x + y)", the general term is the 1 = " Ckx"-ky*.Use the following graph to answer the next question. The graph of f(x) = asin(b(x - c)) + d is shown. 0 - # 8. Which of the following is a possible parameter of the function? A. a = 2 B. b = 2 C. D. d = 2 9. If v3 tan 0 = 1, then cos 0 is A 2 B. WIN C. V3 + - WNN D.A student's solution to a trigonometric equation is shown. sin 2x - sinx = 0 Step 1 sin x (sinx - 1) = 0 Step 2 sinx = 0, sinx + 1 = 0 Step 3 sinx = 0, sinx =- 1 Step 4 x = nat, 2 3T + 2nT, n E I 10. The student's first recorded error is written in step D. 11. A value for x that can be used to verify the equation sin T tand = tanx is an identity is A. B. C. 3 TC 2 D. 2 TC 2. The graph of y = f(x) is stretched horizontally by a factor of 2, stretched vertically by a factor of 4, and then translated 5 units to the left. The equation of the transformed function g(x) is A . 8 ( x ) = 41(2 ( x - 5 ) ) B. 8(x) = 41(2(x-5)) C. 8 (x) = 4/( 2 (x+5) ) D. 8(x) = 4f(2(x+5))13. The graph of the function y = f(x) passes through the point (2, 6). The corresponding point on the graph of the transformed function g(x) = 3(x5)4 is A. (3,14) B. (-3,-22) c. (7,14) B 7 ~22) Numerical Response IEI Given the functions f(x)=|x4|+ 3 and g(x) =|x 1 |+ 4, the transformations that will transform the graph of y = f(x) to the graph of y = g(x) are a vertical translation A units B and a horizontal translation C_units D . For A and C, enter the number of units. For B and D, enter 1 for up, 2 for down, 3 for left, or 4 for right. Enter the answer as 1 1 1 A B C D Numerical Response If the graph of the function y = f(x) passes through the point (9, 3), then the graph of 14. y=3f(x) passes through the point (a, b) y=f(3x) passes through the point (, d) * y=f(x+3) passes through the point (e, f) * y=/f(x)+ 3 passes through the point (g, &) The values of , , , and g, respectively, are : a c e g For the function y = f(x), the domain is [, b] and the range is [c, d]. The true statement about y = f(3x) is the domain is [%a %b] the domain is [3a, 3b]. the range is Hc %d]. o0 w the range is [3c, 3d]