Unit #4 Quadratic Functions Test -...

Name: Date:

MPM2D /

16 11 17 5K A T I C

K/U: T/I: APP: COMM:

Unit #4 – Quadratic Functions Test

Incomplete

0 Unacceptable

1 Poor

2 Acceptable

3 Good

4 Outstanding

5

TECHNICAL CORRECTNESS OF SOLUTIONS

All or most solutions are blank

No solutions are correct or many left blank

Few solutions are technically correct

Some solutions are technically correct

Most solutions are technically correct

All or almost all solutions are technically correct

PRESENTATION OF SOLUTIONS

All or most solutions are blank

No evidence of presentation or many solutions left blank

Solutions to few problems stand alone

Solutions to some problems can stand alone

Solutions to most problems can stand alone

Solutions to all or almost all problems can stand alone

1) Choose from the equations below to determine the equation of each graph. There are two equations you

DON’T need. Fill in the blank with the appropriate letter below each graph. [K/U – 3 marks]

a) 72 xy

b) 2)7( xy

c) 1)4(2 2 xy

d) 2)6(3

1 2 xy

e)

y 2(x 4)2 1

2) Find the equation of the quadratic shown below. [ K/U – 3 marks ]

Equation letter Equation letter Equation letter

MPM2D Unit #4 - Test Unit #4 Quadratic Functions


3) Graph the quadratic function 2( 3)( 1)y x x [ K/U - 3 marks]

4) Change the form of the following quadratic to the stated form.

a) Write 22( 3)y x in standard form. [K/U - 2] b) Write 2 6y xx in factored form. [K/U - 2]

5) Find the vertex of the following quadratic [K/U – 3 marks, T/I – 2 marks]

1) 3( 3)( 3)y x x b) 1

(2 1)(5 2)3

xy x

6) Solve the following using an appropriate method [T/I – 3 marks, App – 5 marks]

a) 5( 7)( 6) 0x x b) m2 7m 18



c) 03145 2 xx PART B – Problem Solving:

1) Find the equation, in standard, of the parabola with zeros (-2,0) and (4,0) that passes through (3,7) .

[T/I – 2 marks, App – 2 marks]

2) Vedrana is standing at the top of a cliff. Wanting desperately to get rid of her math book, she takes it and

throws it off the cliff. The flight path of the math book is modeled by the equation h 5t2 30t 10 ,

where h is the height of the math book in meters above the ground and t is the time after she lets go of the math book.

a) How high is Vedrana off the ground when she releases her math book? (T/I - 2 marks)



a) When will the math book hit the ground? (T/I – 2 marks , App - 2 marks)

b) What is the math book’s maximum height and after how many seconds is this achieved? (T/I – 3 marks, APP - 2 marks)

d) When is the math book 45m off the ground? (T/I - 4 marks)



3) A parabolic bridge over a river is 30 m wide and 12 m high. Can a barge 16 m wide, with its highest point 8 m above the water level pass beneath the bridge? Include a diagram. (7 marks)

4) Identify the equation which is a possible solution to the graph shown below. Justify your choice and why you ruled out each of the other equations.

a) 232 xxy

b) 452 xxy

c) 1682 xxy

d) 1282 xxy

e) 62 xxy

Unit #4 Quadratic Functions Test -...

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