How much could Frank withdraw on his sixteenth birthday?-How much of the withdrawal is interest?

7. For the parabola defined by the quadratic function( )
1543 2 +−−= xy , determine the following. K (5)
a. Does it have a maximum or minimum value? ___________
b. What is the maximum/minimum y– value? ____________
c. For what x–value does the maximum/minimum value occur? ______________
d. What are the co–ordinates of the vertex? ____________
e. What is the equation of the axis of symmetry? __________
8. Use the quadratic formula to solve each of the following forx . Use two decimal places where necessary.
K (5)0153 2 =++ xx
9. Given( )
2
5 4g x x x= − , determine each of the following. K (5)
a.( )
2g b.( )
3g x −

10. Frank’s parents invested $4000 by opening an account in his name when he was fist born.
The account paid interest at 5%/a compounded semi–annually. A (3)

a. How much could Frank withdraw on his sixteenth birthday?
b. How much of the withdrawal is interest?

11. A pine tree casts a 31–meter shadow when the angle of elevation from the ground to the top of the tree is 40o. Find the height of the pine tree to two decimal places. Include a diagram. A (4)

14. Ted hit a baseball. The height,h , of the ball above ground, in metres, at any time,t , in seconds is given by the equation,1205 2 ++−= tth . Complete the square and expressh in the form,( ) qptah +−= 2 . Then, use your answer to answer the questions below. A (10)

a. Determine the maximum height reached by the ball. __________
b. How long does it take the ball to reach its maximum height? _________
c. From what height above the ground did Ted hit the ball? _________

15. Two boats at location P and Q are being tracked by a satellite located at R.
Using the information in the diagram, find the distance between the two boats, PQ, to the nearest kilometre. A (5)

16. Given the trigonometric function( )
160sin3 ++= xy ;
Draw a sketch, then graph. . A (5)km15PQR107km10

a)cosy x= stretched vertically by a factor of 4, translated60 to the left,
and 5 units downward. ________________________
b)siny x= compressed vertically by a factor of3
1 , translated120 to the right,
and 5.5 units upward. ________________________
20. For the sinusoidal function given below, determine the following. A (5)
Scale: I unit horizontally is60
a. period __________ b. amplitude ___________ c. vertical displacement _____________________
21. If the above function is a cosine function, determine a possible equation in the form,( ) 
dcxbay ++= cos .
A (3)360360− 