COMMUNICATION

(1). A model rocket is launched from the ground. After 20 s, the rocket reaches a maximum height of 2000 m. It lands on the ground after 40 s. Explain how you could determine the equation of the relationship between the height of the rocket and time using two different strategies. (4 Marks)

(2). Serena claims that the standard form of a quadratic relation is best for solving problems where you need to determine the maximum or minimum value, and that the vertex form is best to use to determine a parabola's zeros. Do you agree or disagree? Explain. (3 Marks)

THINKING/INQUIRY

(1). The Lion's Gate Bridge in Vancouver, British Columbia, is a suspension bridge that spans a distance of 1516 m. Large cables are attached to the tops of the towers, 50 m above the road. The road is suspended from the large cables by many smaller vertical cables. The smallest vertical cable measures about 2 m. Use this information to determine a quadratic model for the large cables. (3 Marks)

(2). A parabola has a y-intercept of - 4 and passes through points (- 2, 8) and (1, - 1). Determine the vertex of the parabola. (3 Marks)