A+ SOLUTIONS FOR THE FOLLOWING QUESTIONS

Basic Skills Review

Mid-Unit Assignment

Basic Skills Mid-Unit Assignment

1.Create a corresponding speed-time graph for each distance time graph given. (2 each)

a.

b.

2.Answer the following:

a.For the graph in question 1a, create a more realistic distance time graph and corresponding speed time graph. Include a story to match this pair of graphs.

b.Repeat 2a for the graph in question 1b.

3.A 2m length of board rests with one end on the floor and the other end on a small stack of bricks. A baseball is rolled up the board and back down again in a total of 4 seconds. The farthest the baseball reached on the board was 130cm.

a.Sketch a graph to show the distance the baseball travelled versus time. (2 marks)

b.Show the speed-time graph corresponding to the graph in part a. (2 marks)

4.Sketch each transformed function for the given graph. Use proper graphing techniques. (2 each)

a.y = f(x - 3) + 5

b.y = -4f(x) - 2

5.Rewrite y = f(x) showing each of the following transformations: (8 marks)

a.A translation 7 units down.

b.A translation 4 units left.

c.A reflection in the y-axis.

d.A stretch along the y-axis of factor two and a translation up of 5 units.

e.A translation right of 10 units, a reflection in the x-axis and a horizontal compression of factor 3.

6.Determine the equation of the function that has the indicated transformation applied to the function f(x) = 3(x + 1)2 - 2. (2 marks each)

a.translated up 2 and moved 2 units to the right.

b.reflected in the x-axis and stretched by a factor of 3.