MCF3M - Grade 11 U/C Math Name: Date: 5. The population of a rural town can be modeled by the function P0) = 2t2 +1001+2500, where t is the number of years since 2000. According to the model, when will the population reach its maximum? What is the maxinwm population? Show all your work 9 Unit 5: Try' enamels! 1. Jake is standing 14 metres from the base of a tower. The angle of elevation between him and the top of the tower is 30 degrees. What is the height of the tower? Round to I decimaL 9 2. Find the measure of the angle shown to the nearest degree. 9 lcm 19cm 20cm . _./' MCF3M - Grade 11 U/C Math Name: Date: 3. Marshall and Marsha have a triangular back yard. From point A to point B, the distance is 43.5 m. The distance from A to C is 65.6m. The angle C measures 49 and the angle B measures 71. Determine the perimeter of Marshall and Marsha's back yard to the nearest metre. Unit 6: Sinusoidal Functions 1. The sinusoidal function y = sin x has been stretched by a factor of 3 and translated right 30 and down 2 units. a) Write the resulting equation for the function. 3 b) Graph one cycle of the function, showing each of the five key points. (() sin x x 30 60 90 120 150 180 2 0 240 270 300 -330 360 390 c) State the Domain and Range for the new curve. @ d) State the equation of the axis of the curve. O 2. Give ONE example of a sinusoidal function in real life. 0MCF3M Grade 'I 1 U/C Math , Name: Date: Culminating Task Day 2 Quadratics in Vertex Form, Trigonometry & Sinusoidal Functions ANSWER ALL QUESTIONS IN THE SPACE PROVIDED. SHOW ALL WORK FOR Flll MARKS. Unit 6: Quadratics in Vertex 8; Standard Form 'I. Write y= 2(Jr|-)2 12 in standard form. 9 2. Complete the square to write y = .'t:2 + 6x 1 in vertex form. 9 3. Solve y = 5.):2 +16x-l using the quadratic formula. 0 4. Determine the number of roots for the function y = .1:2 +21: - 4 . DO NOT SOLVE 9