RevisionDojo

Quadratic functions - MYP Questionbank | RevisionDojo

Practice Quadratic functions with authentic MYP MYP Standard 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 quadratic functions has the narrowest graph?

Question 2

Which form of a quadratic function is most efficient for identifying the axis of symmetry and the maximum or minimum value of its graph directly from the equation?

Question 3

For the function $y=(x-4)(x-4)$ , how many unique $x$ -intercepts does the graph have?

Question 4

For the quadratic function $y = ax^2 + bx + c$ , if $a > 0$ and the vertex $y$ -coordinate is negative, how many $x$ -intercepts does the graph have?

Question 5

To find the $x$ -intercepts of a quadratic function most efficiently, the ____ form is usually the best choice.

Question 6

Given the quadratic function $y = 2x^2 + 8x - 1$ , what is the $x$ -coordinate of the vertex?

Question 7

When a quadratic function is written in factorized form $y = a(x - r_1)(x - r_2)$ , the $x$ -coordinate of the vertex is equivalent to the ____ of the zeros $r_1$ and $r_2$ .

Question 8

For the quadratic function written in vertex form $y = (x + 3)^2 - 5$ , what is the equation of the axis of symmetry?

Question 9

Which of the following properties is shared by ALL quadratic functions of the form $y = ax^2 + bx + c$ where $a \neq 0$ ?

Question 10

An archway's height is modelled by the function $h(x) = -x^2 + 6x$ where $x$ is the horizontal distance in metres and $h(x)$ is the height in metres. What is the maximum height of the archway?

Type

Difficulty

Question 1

Which of the following quadratic functions has the narrowest graph?

Question 2

Which form of a quadratic function is most efficient for identifying the axis of symmetry and the maximum or minimum value of its graph directly from the equation?

Question 3

For the function $y=(x-4)(x-4)$ , how many unique $x$ -intercepts does the graph have?

Question 4

For the quadratic function $y = ax^2 + bx + c$ , if $a > 0$ and the vertex $y$ -coordinate is negative, how many $x$ -intercepts does the graph have?

Question 5

To find the $x$ -intercepts of a quadratic function most efficiently, the ____ form is usually the best choice.

Question 6

Given the quadratic function $y = 2x^2 + 8x - 1$ , what is the $x$ -coordinate of the vertex?

Question 7

When a quadratic function is written in factorized form $y = a(x - r_1)(x - r_2)$ , the $x$ -coordinate of the vertex is equivalent to the ____ of the zeros $r_1$ and $r_2$ .

Question 8

For the quadratic function written in vertex form $y = (x + 3)^2 - 5$ , what is the equation of the axis of symmetry?

Question 9

Which of the following properties is shared by ALL quadratic functions of the form $y = ax^2 + bx + c$ where $a \neq 0$ ?

Question 10

An archway's height is modelled by the function $h(x) = -x^2 + 6x$ where $x$ is the horizontal distance in metres and $h(x)$ is the height in metres. What is the maximum height of the archway?

Type

Difficulty

Question 1

Which of the following quadratic functions has the narrowest graph?

Question 2

Which form of a quadratic function is most efficient for identifying the axis of symmetry and the maximum or minimum value of its graph directly from the equation?

Question 3

For the function $y=(x-4)(x-4)$ , how many unique $x$ -intercepts does the graph have?

Question 4

For the quadratic function $y = ax^2 + bx + c$ , if $a > 0$ and the vertex $y$ -coordinate is negative, how many $x$ -intercepts does the graph have?

Question 5

To find the $x$ -intercepts of a quadratic function most efficiently, the ____ form is usually the best choice.

Question 6

Given the quadratic function $y = 2x^2 + 8x - 1$ , what is the $x$ -coordinate of the vertex?

Question 7

When a quadratic function is written in factorized form $y = a(x - r_1)(x - r_2)$ , the $x$ -coordinate of the vertex is equivalent to the ____ of the zeros $r_1$ and $r_2$ .

Question 8

For the quadratic function written in vertex form $y = (x + 3)^2 - 5$ , what is the equation of the axis of symmetry?

Question 9

Which of the following properties is shared by ALL quadratic functions of the form $y = ax^2 + bx + c$ where $a \neq 0$ ?

Question 10

An archway's height is modelled by the function $h(x) = -x^2 + 6x$ where $x$ is the horizontal distance in metres and $h(x)$ is the height in metres. What is the maximum height of the archway?

Quadratic functions Questionbank