mbf3c test #4 quadratics i (chapter 4) name:

MBF3C Test #4 – Quadratics I (Chapter 4) Name: ______________

MBF3C – Mr. Neave

Total

58

Instructions:

1. Read each question carefully before answering. 2. Calculators can be used but cannot be shared. No cell phone or iPod calculators !!

/ 48 Q1.3 I understand the roles of a, h, and k in quadratic relations of the form y=a(x-h)2 + k

1. 2( )y a x h k � � is the ___________ form of a quadratic relation. (1 mark)

2. In each table of values below use first and second differences to determine if the relationship is linear, quadratic, or neither. Justify your answer (6 marks)

3. Which of the following relationships are quadratic. Justify your answer. (4 marks)

a) y = 3x + 4 b) y = 3x2 -3x + 2 c) y2 = x2 – 9 d) y = -5x2

Test Score Parent/Guardian Signature


MBF3C – Mr. Neave

4. Complete the table. (9 marks)

Relation

Coordinates of Vertex

Is the vertex a

Maximum or Minimum

Value of Maximum or

Minimum

y = -3(x – 4)2 + 5

y = 2(x + 7)2 - 3

y = -2x2 + 5

5. What information do you need to have about a parabola in order to determine it’s equation?

(3 marks)

6. Describe the transformations applied to the base curve y = x2 to produce the graph of y = -3(x – 4)2 + 6. Use proper terminology. (4 marks)

1) ______________________________________________

2) ______________________________________________ 3) _______________________________________________ 4) _______________________________________________


MBF3C – Mr. Neave

7. Determine the equation of the parabola in the form y=a(x-h)2 + k. (6 marks)

8. A parabola is 6cm wide and 27 cm high.

a) Sketch the parabola. Label the coordinates of each point on the parabola that you know. (3 marks)

b) Determine the equation of the parabola. (5 marks)

9. For the parabola identify: (7 marks) - the x-intercepts - the y-intercepts - the maximum or minimum value - the coordinates of the vertex


MBF3C – Mr. Neave

/ 10 Q1.6 I can convert vertex form to standard form:

10. Change the quadratic relation below to standard form and determine the y-intercept. (4 marks)

22( 3) 5y x � �

11. A basketball was thrown upward. The basketball’s path is given by the equation h = -0.2(d - 2.5)2 +4.25, h is the basketball’s height above the ground in metres and d is the basketball’s horizontal distance from where it was thrown, in metres.

a) What was the basketball’s initial height. Hint: find the y-intercept !!(4 marks)

b) What was the basketball’s greatest height above the ground? What was the basketball’s horizontal distance at this point? (2 marks)


MBF3C – Mr. Neave

mbf3c test #4 quadratics i (chapter 4) name:

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