Cycle 2 Test
MPM2D1
Name:
Overall Expectation
Q
Level
A1,2,4
demonstrate an understanding of quadratics and characteristics of functions and
rational functions/rational expressions.
1, 2, 4, 8
A2
make connections between the numeric, graphical, and algebraic representations
of exponential functions;
3
D4
demonstrate an understanding of periodic relationships and sinusoidal functions,
and make connections between the numeric, graphical, and algebraic
representations of sinusoidal functions.
5, 6, 7
1. The length of a rectangle is represented by
3𝑥+1
𝑥−2
and its width is represented by
2𝑥−1
.
3
simplify an expression that represents the perimeter of the rectangle in terms of x.
3
2. Show that 2
𝑥 −3𝑥−10
−
𝑥−1
=
−(𝑥−6)(𝑥+4)−1
.
𝑥 2 +2𝑥−35 (𝑥−5)(𝑥 2 +9𝑥+14)
Write and
MPM2D1
Cycle 2 Test
3. The mapping rule of a functions is as follows.
1
𝑦−1
(− (𝑥 + 3), −
)
2
2
Create the exponential function with a base of 5 and its graph.
(𝑥, 𝑦) →
4. Graph the function 𝑔(𝑥) = −2𝑓(−3𝑥 + 3) − 1 if
a. 𝑓(𝑥) = 2𝑥 2
1
b. 𝑓(𝑥) = 𝑥
Name:
MPM2D1
Cycle 2 Test
Name:
5. What is a possible function that is represented by the graph below? Justify your response using
the concept of transformations.
6. Fully describe and explain a transformation to the function, 𝑓(𝑥) = −2sin(2𝑥 + 30) − 4, so
that it would intercept the y-axis at its maximum point. Include a diagram with your explanation.
MPM2D1
Cycle 2 Test
Name:
7. Find the equation for the function below if the function has only 3 transformations
compared to its parent function. Justify your response using the terminology of
transformations.
8. Simplify and state restrictions for