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Stretches and compressions - MYP Questionbank | RevisionDojo

Practice Stretches and compressions 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

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 3

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

Question 4

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

Question 5

Consider the transformation $y = af(bx)$ , where $a, b \in \mathbb{R} \setminus \{0\}$ , applied to the parabola $f(x) = x^2$ . Which of the following statements is true about the resulting graph?

Question 6

Which of the following transformations applied to $f(x) = x + 10$ will result in a change to the $y$ -intercept of the graph?

Question 7

The transformation that maps every point $(x, y)$ on the graph of a function $f$ to the point $\left(\frac{x}{5}, y\right)$ is algebraically defined by the equation ____.

Question 8

Given the graph of $y=f(x)$ , if every point $(x_0, y_0)$ on the original graph is mapped to the point $\left(\frac{x_0}{5}, y_0\right)$ on a new graph, which function represents this transformation?

Question 9

In the transformation $y = f(ax)$ where $a > 1$ , what happens to the distance between any point $(x, y)$ on the graph and the $y$ -axis?

Question 10

Suppose the function $f(x) = x^3 - x$ . If the graph of $f$ is horizontally compressed by a factor of $\frac{1}{2}$ to form the function $g(x)$ , which of the following is the correct algebraic expression for $g(x)$ ?

Type

Difficulty

Question 1

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

Question 2

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 3

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

Question 4

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

Question 5

Consider the transformation $y = af(bx)$ , where $a, b \in \mathbb{R} \setminus \{0\}$ , applied to the parabola $f(x) = x^2$ . Which of the following statements is true about the resulting graph?

Question 6

Which of the following transformations applied to $f(x) = x + 10$ will result in a change to the $y$ -intercept of the graph?

Question 7

The transformation that maps every point $(x, y)$ on the graph of a function $f$ to the point $\left(\frac{x}{5}, y\right)$ is algebraically defined by the equation ____.

Question 8

Given the graph of $y=f(x)$ , if every point $(x_0, y_0)$ on the original graph is mapped to the point $\left(\frac{x_0}{5}, y_0\right)$ on a new graph, which function represents this transformation?

Question 9

In the transformation $y = f(ax)$ where $a > 1$ , what happens to the distance between any point $(x, y)$ on the graph and the $y$ -axis?

Question 10

Type

Difficulty

Question 1

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

Question 2

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 3

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

Question 4

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

Question 5

Consider the transformation $y = af(bx)$ , where $a, b \in \mathbb{R} \setminus \{0\}$ , applied to the parabola $f(x) = x^2$ . Which of the following statements is true about the resulting graph?

Question 6

Which of the following transformations applied to $f(x) = x + 10$ will result in a change to the $y$ -intercept of the graph?

Question 7

The transformation that maps every point $(x, y)$ on the graph of a function $f$ to the point $\left(\frac{x}{5}, y\right)$ is algebraically defined by the equation ____.

Question 8

Given the graph of $y=f(x)$ , if every point $(x_0, y_0)$ on the original graph is mapped to the point $\left(\frac{x_0}{5}, y_0\right)$ on a new graph, which function represents this transformation?

Question 9

In the transformation $y = f(ax)$ where $a > 1$ , what happens to the distance between any point $(x, y)$ on the graph and the $y$ -axis?

Question 10

Stretches and compressions Questionbank