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Reflections - MYP Questionbank | RevisionDojo

Practice Reflections 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

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 2

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 3

If $f(x) = 4x - 12$ , what is the $x$ -intercept of the graph after it has been reflected in the $y$ -axis?

Question 4

A reflection in the $y$ -axis is a mirror transformation where the mirror line is the:

Question 5

The graph of $y = f(x)$ has a maximum point at $(-5, 2)$ . If the graph is reflected in the y-axis, where is the stationary point of the new graph $y = f(-x)$ located?

Question 6

If the range of $f(x)$ is $2 \le y \le 10$ , what is the range of $g(x) = -f(x)$ ?

Question 7

Given the function $f(x)$ , which of the following transformations represents a reflection of the graph in the $x$ -axis?

Question 8

Consider the function $f(x) = x^2 - 6x + 8$ . If this function is transformed into $g(x) = f(-x)$ , which of the following is the expanded form of the expression for $g(x)$ ?

Question 9

The function $f(x) = e^x + 5$ has a $y$ -intercept at $(0, 6)$ . Let $g(x)$ be the reflection of $f(x)$ in the $x$ -axis. What is the vertical distance between the $y$ -intercept of $f(x)$ and the $y$ -intercept of $g(x)$ ?

Question 10

The function $f(x) = \ln(x - 5)$ is defined for the domain $x > 5$ . If the graph is reflected in the $y$ -axis to create $g(x) = f(-x)$ , what is the domain of $g(x)$ ?

Type

Difficulty

Question 1

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 2

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 3

If $f(x) = 4x - 12$ , what is the $x$ -intercept of the graph after it has been reflected in the $y$ -axis?

Question 4

A reflection in the $y$ -axis is a mirror transformation where the mirror line is the:

Question 5

The graph of $y = f(x)$ has a maximum point at $(-5, 2)$ . If the graph is reflected in the y-axis, where is the stationary point of the new graph $y = f(-x)$ located?

Question 6

If the range of $f(x)$ is $2 \le y \le 10$ , what is the range of $g(x) = -f(x)$ ?

Question 7

Given the function $f(x)$ , which of the following transformations represents a reflection of the graph in the $x$ -axis?

Question 8

Consider the function $f(x) = x^2 - 6x + 8$ . If this function is transformed into $g(x) = f(-x)$ , which of the following is the expanded form of the expression for $g(x)$ ?

Question 9

Question 10

The function $f(x) = \ln(x - 5)$ is defined for the domain $x > 5$ . If the graph is reflected in the $y$ -axis to create $g(x) = f(-x)$ , what is the domain of $g(x)$ ?

Type

Difficulty

Question 1

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 2

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 3

If $f(x) = 4x - 12$ , what is the $x$ -intercept of the graph after it has been reflected in the $y$ -axis?

Question 4

A reflection in the $y$ -axis is a mirror transformation where the mirror line is the:

Question 5

The graph of $y = f(x)$ has a maximum point at $(-5, 2)$ . If the graph is reflected in the y-axis, where is the stationary point of the new graph $y = f(-x)$ located?

Question 6

If the range of $f(x)$ is $2 \le y \le 10$ , what is the range of $g(x) = -f(x)$ ?

Question 7

Given the function $f(x)$ , which of the following transformations represents a reflection of the graph in the $x$ -axis?

Question 8

Consider the function $f(x) = x^2 - 6x + 8$ . If this function is transformed into $g(x) = f(-x)$ , which of the following is the expanded form of the expression for $g(x)$ ?

Question 9

Question 10

The function $f(x) = \ln(x - 5)$ is defined for the domain $x > 5$ . If the graph is reflected in the $y$ -axis to create $g(x) = f(-x)$ , what is the domain of $g(x)$ ?

Reflections Questionbank