Name:____________________
CCA INSTRUCTIONS
MCR3U
The CCA (Course Culminating Activity) will involve 2 days of in-class observation that covers the
topic of transformations and properties of functions. This task will be worth 15% of your final
mark.
Expectations:
A1. demonstrate an understanding of functions, their representations, and their inverses, and make
connections between the algebraic and graphical representations of functions using transformations;
B2. make connections between the numeric, graphical, and algebraic representations of exponential
functions;
D2. demonstrate an understanding of periodic relationships and sinusoidal functions, and make
connections between the numeric, graphical, and algebraic representations of sinusoidal functions;
Learning Goals:
• Communicate ideas of the course clearly.
• Use correct function notation and vocabulary.
• Create, draw and label graphs properly.
Success Criteria:
• All transformations of the given function are explained.
• Choose and explain the correct transformation that affects the property of the graph.
• The base function and transformed function are drawn correctly.
• Calculations are displayed.
1. Consider the base / parent function 푦 =푓
(
푥
)
. You will be given an assigned transformed
function different from your peers. Write and explain all transformations [3K, 2C].
2. Write out the equation of the transformed function assuming the base function is 푓
(
푥
)
=
√
푥 [2K].
❑ Explain which transformation(s) affect the domain when comparing the transformed
function to the base function [2T].
❑ Illustrate your explanation on graph paper, showing the base function and
transformed function. Label all points on your graph and show your calculations
[6A].
3. Write out the equation of the transformed function assuming the base function is 푓
(
푥
)
=
푥
2
[2K].
❑ Explain which transformation(s) affect the range when comparing the transformed
function to the base function [2T].
Name:____________________
❑ Illustrate your explanation using graph paper, showing the base function and
transformed function. Label all points on your graph and show your calculations
[6A].
4. Write out the equation of the transformed function assuming the base function is 푓
(
푥
)
=
2
푥
[2K].
❑ Explain which transformation(s) affect the horizontal asymptote when comparing the
transformed function to the base function [2T].
❑ Illustrate your explanation using graph paper, showing the base function and
transformed function. Label all points on your graph and show your calculations
[6A].
5. Write out the equation of the transformed function assuming the base function is 푓
(
푥
)
=
sin
(
푥
)
[2K].
❑ Your ‘d’ value is going to change for this function only. Multiply your original ‘d’ value
by 10.
❑ Explain which transformation(s) affect the period when comparing the transformed
function to the base function [2T].
❑ Illustrate your explanation using graph paper, showing the base function and
transformed function. Label all points on your graph and show your calculations
[6A].
