MBF3CName:

Unit Test # 4 – Quadratic Relations

Presentation and Technical Rubric for Communication Mark

Incomplete
0 / Unacceptable
3.0 4.0 / Poor
5.2 5.5 5.8 / Acceptable
6.2 6.5 6.8 / Good
7.2 7.5 7.8 /

Outstanding

8.4 8.9 9.5 10
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

Part A:Knowledge & Understanding

  1. Circle the letter(s) of the graph(s) that appear to represent a quadratic relation?

a)b) c)

[K2]

d)e) f)

  1. For each of the following parabolas, identify;

[K11]

a) The zeros are a) The zeros are

b) The equation of the axis of symmetryb) The equation of the axis of symmetry

c) The coordinates of the vertex c) The coordinates of the vertex

d) Does the parabola have a min. or a max. d) Does the parabola have a min. or a max.

e) What is the optimum value e) What is the optimum value

  1. A ball is thrown from the roof of a building as

represented by the following graph, where h,

is the height in meters and t, is the time measured

in seconds.

  1. What is the balls maximum height?

[K4]

  1. After how many seconds does

the ball reach this maximum?

  1. How long does it take for

the ball to hit the ground?

  1. What is the height of the building?
  1. Determine the zeros of each the following quadratic relations?

a)b)c)

[K6]

  1. The zeros of a quadratic relation are x = -5 and x =1. What is the equation of the axis of symmetry?

Show your work to receive full marks.

[K2]

Part B:Application

  1. Expand and Simplify the following binomials.

a)b)c)d)

[A10]

e)f)g)

  1. Common Factor the following expressions.

a)b)

[A4]

  1. Factor the following Difference of Squares.

a)b)c)d)

[A8]

  1. Factor the following simple trinomials.

a)b)c)d)

[A8]

  1. Find the zeros of the following equations.

(Hint: change from standard form to factored form, you may need to remove a GCF first)

a)b)c)

[A10]

Part C:Thinking/Inquiry & Problem Solving

  1. The field goal kicker for the Ottawa Roughriders kicks the football into the air towards the end zone. The height of the ball above the ground is approximated by the quadratic relation, , where h is the height of the football in meters and t is the length of time the football is in the air measured in seconds.

[PS17]

  1. What was the height of the ball when it was kicked?

(Hint: the y-intercept)

  1. Re-arrange the factored form of the

equation into standard form.

  1. State the zeros of this quadratic relation.
  1. Determine the equation of the axis of symmetry.

Show your work !!!

  1. Find the coordinates of the vertex.

Show your work !!!

  1. Sketch the graph of this quadratic relation on the grid provided.
  1. What is the maximum height of the football?
  1. How long did it take for the football to reach this maximum height?
  1. How long did it take before the football hits the ground?
  1. What is the step pattern for this quadratic relation?
  1. Write the quadratic relation as an equation in vertex form?
  1. A parabola has zeros at -4 and 8. The parabola goes through the point ( 2 , 18 ). [ Hint: all points are of the form (x,y) ]
  1. Write the equation of the parabola using the general equation for factored form.

(Hint: , we don’t know “a” yet.)

[PS9]

  1. Find the value of “a” using your point.?
  1. Determine the equation of the parabola in standard form. (Hint: Expand the factored form)
  1. Which way does the parabola open?
  1. What is the y-intercept of the parabola?

BONUS:4 MARKS TO YOUR LOWEST CATEGORY

Show all your work to be eligible to receive full marks

Expand and Fully Simplify

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