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Vertical translation - MYP Questionbank | RevisionDojo

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

Question 2

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 3

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 4

If the graph of ${y = f(x)}$ is translated vertically by ${k}$ units such that the resulting graph is identical to the original graph (i.e., ${f(x) + k = f(x)}$ for all ${x}$ ), what must be the value of ${k}$ ?

Question 5

Which of the following statements about the vertical translation $y = f(x) + k$ , where $k \in \mathbb{R}$ , is true?

Question 6

In the vertex form of a quadratic $y = a(x-h)^2 + k$ , the parameter $k$ represents the vertical displacement of the vertex relative to the vertex of which function?

Question 7

A line $y = 2x$ is translated down by $9$ units. What is the equation of the resulting line?

Question 8

The function $f(x) = \frac{1}{x}$ has a horizontal asymptote at $y = 0$ . What is the equation of the horizontal asymptote of the function $g(x) = f(x) - 4$ ?

Question 9

To transform the graph of $y = x^2 + 8x + 10$ into the graph of $y = (x+4)^2 + 2$ , one must apply a vertical translation of

Question 10

The parent function $y = x^2$ has its vertex at $(0, 0)$ . After a vertical translation, the new vertex is $(0, -4.5)$ . Which of the following equations represents this transformed function?

Type

Difficulty

Question 1

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 2

Question 3

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 4

Question 5

Which of the following statements about the vertical translation $y = f(x) + k$ , where $k \in \mathbb{R}$ , is true?

Question 6

In the vertex form of a quadratic $y = a(x-h)^2 + k$ , the parameter $k$ represents the vertical displacement of the vertex relative to the vertex of which function?

Question 7

A line $y = 2x$ is translated down by $9$ units. What is the equation of the resulting line?

Question 8

The function $f(x) = \frac{1}{x}$ has a horizontal asymptote at $y = 0$ . What is the equation of the horizontal asymptote of the function $g(x) = f(x) - 4$ ?

Question 9

To transform the graph of $y = x^2 + 8x + 10$ into the graph of $y = (x+4)^2 + 2$ , one must apply a vertical translation of

Question 10

The parent function $y = x^2$ has its vertex at $(0, 0)$ . After a vertical translation, the new vertex is $(0, -4.5)$ . Which of the following equations represents this transformed function?

Type

Difficulty

Question 1

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 2

Question 3

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 4

Question 5

Which of the following statements about the vertical translation $y = f(x) + k$ , where $k \in \mathbb{R}$ , is true?

Question 6

In the vertex form of a quadratic $y = a(x-h)^2 + k$ , the parameter $k$ represents the vertical displacement of the vertex relative to the vertex of which function?

Question 7

A line $y = 2x$ is translated down by $9$ units. What is the equation of the resulting line?

Question 8

The function $f(x) = \frac{1}{x}$ has a horizontal asymptote at $y = 0$ . What is the equation of the horizontal asymptote of the function $g(x) = f(x) - 4$ ?

Question 9

To transform the graph of $y = x^2 + 8x + 10$ into the graph of $y = (x+4)^2 + 2$ , one must apply a vertical translation of

Question 10

The parent function $y = x^2$ has its vertex at $(0, 0)$ . After a vertical translation, the new vertex is $(0, -4.5)$ . Which of the following equations represents this transformed function?

Vertical translation Questionbank