Practice Exam Questions – MBF3C Per 3

Write the equation of the parabola below in standard form. (3 marks)

22( 1) 3y x � �

. Write the equation of the parabola below in factored (intercept) form. (3 marks)

23 9 30y x x � � �

Explain the main differences between discrete, continuous, and categorical data. What kind of graph should be used to display each kind of data? (4 marks)

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

1) ______________________________________________

2) ______________________________________________ 3) _______________________________________________ 4) _______________________________________________

A skateboarder is trying to jump a puddle that is 1.7 metres wide. His path is modelled by the equation: 21.25 1.875h d d � �

h is the height in meters and d is the distance from the start of the puddle in meters. a) Put the equation in factored form. (2 marks)

b) Determine the zeros. (2 marks)

c) Did the skateboarder make it over the puddle? Explain. (2 marks)

Kyle and Kaitlin started in the same spot and walked out in two different directions to place markers for a cross country race. Their paths formed an angle of 84°. Kyle walked 85 m and Kaitlin walked 100 m to place their markers. How far apart are the markers? Hint: Draw a sketch to help you ! (5 marks)

. Complete the table showing the 3 forms of a quadratic relation. In your table include the key information about the graph of the parabola that each form gives you. (4 marks) Form: Standard

Form: Vertex Form: Factored

Equation: y = ax2 + bx + c Equation: y = a(x-h)2 + k

Equation: y = a(x-s)(x-t)

Determine the equation of the parabola below in vertex form.