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Function Transformations - MYP Questionbank | RevisionDojo

Practice Function Transformations with authentic MYP MYP Extended Mathematics exam questions for both SL and HL students. This question bank mirrors Paper 1, 2, 3 structure, covering key topics like core principles, advanced applications, and practical problem-solving. Get instant solutions, detailed explanations, and build exam confidence with questions in the style of MYP examiners.

Type

Difficulty

Question 1

Which of the following correctly describes the transformation $y = f\left(\frac{x}{k}\right)$ , where $k > 1$ ?

Question 2

True or False: For the function $f(x) = x^3$ , the transformation $y = -f(x)$ results in the same graph as $y = f(-x)$ .

Question 3

Which of the following describes the vertical translation applied to the function $y = (x+1)^2$ to obtain the graph of $y = x^2 + 2x + 5$ ?

Question 4

A function $f(x)$ is defined by the set of points:

\{(-4,-5), (1,-1), (5,3)\}

If $g(x) = \frac{1}{2} f(x)$ , which of the following represents the transformed set of points on the graph of $g$ ?

Question 5

Let $g(x) = f(x-2)$ . If the point $(5, 10)$ lies on the graph of $y = g(x)$ , which point must lie on the graph of $y = f(x)$ ?

Question 6

The quadratic function $f(x) = (x - 2)^2 + 3$ has its vertex at $(2, 3)$ . If the function is transformed into $y = -f(x)$ , what is the vertex of the new graph?

Question 7

When sketching the transformation $y = f(2x)$ from the original graph $y = f(x)$ , every $x$ -coordinate of the original points must be:

Question 8

True or False: If $f(x)$ is a linear function with equation $y = mx + c$ (where $m \neq 0$ ), then for any vertical translation $k \neq 0$ , the graph of $g(x) = f(x) + k$ will be parallel to and never intersect the graph of $f(x)$ .

Question 9

The quadratic function $y = 3(x-2)^2 + 4$ is translated vertically such that its vertex now lies on the $x$ -axis. What is the equation of the resulting function?

Question 10

Which of the following correctly describes the transformation $y = f(3x)$ compared to the original graph of $y = f(x)$ ?

Type

Difficulty

Question 1

Which of the following correctly describes the transformation $y = f\left(\frac{x}{k}\right)$ , where $k > 1$ ?

Question 2

True or False: For the function $f(x) = x^3$ , the transformation $y = -f(x)$ results in the same graph as $y = f(-x)$ .

Question 3

Which of the following describes the vertical translation applied to the function $y = (x+1)^2$ to obtain the graph of $y = x^2 + 2x + 5$ ?

Question 4

A function $f(x)$ is defined by the set of points:

\{(-4,-5), (1,-1), (5,3)\}

If $g(x) = \frac{1}{2} f(x)$ , which of the following represents the transformed set of points on the graph of $g$ ?

Question 5

Let $g(x) = f(x-2)$ . If the point $(5, 10)$ lies on the graph of $y = g(x)$ , which point must lie on the graph of $y = f(x)$ ?

Question 6

The quadratic function $f(x) = (x - 2)^2 + 3$ has its vertex at $(2, 3)$ . If the function is transformed into $y = -f(x)$ , what is the vertex of the new graph?

Question 7

When sketching the transformation $y = f(2x)$ from the original graph $y = f(x)$ , every $x$ -coordinate of the original points must be:

Question 8

Question 9

The quadratic function $y = 3(x-2)^2 + 4$ is translated vertically such that its vertex now lies on the $x$ -axis. What is the equation of the resulting function?

Question 10

Which of the following correctly describes the transformation $y = f(3x)$ compared to the original graph of $y = f(x)$ ?

Type

Difficulty

Question 1

Which of the following correctly describes the transformation $y = f\left(\frac{x}{k}\right)$ , where $k > 1$ ?

Question 2

True or False: For the function $f(x) = x^3$ , the transformation $y = -f(x)$ results in the same graph as $y = f(-x)$ .

Question 3

Which of the following describes the vertical translation applied to the function $y = (x+1)^2$ to obtain the graph of $y = x^2 + 2x + 5$ ?

Question 4

A function $f(x)$ is defined by the set of points:

\{(-4,-5), (1,-1), (5,3)\}

If $g(x) = \frac{1}{2} f(x)$ , which of the following represents the transformed set of points on the graph of $g$ ?

Question 5

Let $g(x) = f(x-2)$ . If the point $(5, 10)$ lies on the graph of $y = g(x)$ , which point must lie on the graph of $y = f(x)$ ?

Question 6

The quadratic function $f(x) = (x - 2)^2 + 3$ has its vertex at $(2, 3)$ . If the function is transformed into $y = -f(x)$ , what is the vertex of the new graph?

Question 7

When sketching the transformation $y = f(2x)$ from the original graph $y = f(x)$ , every $x$ -coordinate of the original points must be:

Question 8

Question 9

The quadratic function $y = 3(x-2)^2 + 4$ is translated vertically such that its vertex now lies on the $x$ -axis. What is the equation of the resulting function?

Question 10

Which of the following correctly describes the transformation $y = f(3x)$ compared to the original graph of $y = f(x)$ ?

Function Transformations Questionbank