Graphs – Linear, Quadratic, Cubic
Maths
high_school
10 questions
~20 mins
0 views0 downloads
About This Worksheet
A comprehensive Maths worksheet on Graphs – Linear, Quadratic, Cubic for high school students. Includes a variety of question types including multiple choice, short answer, and true/false questions.
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Graphs – Linear, Quadratic, Cubic
Subject: MathsGrade: high_school
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Graphs – Linear, Quadratic, Cubic
Maths
Instructions: Answer all the questions to the best of your ability. For multiple-choice questions, select the most appropriate option. Use the space provided for short answer questions and indicate whether the true/false statements are correct.
A
Multiple Choice Questions
Select the correct answer for each question.
1.
What is the gradient of the line represented by the equation y = 3x + 2?
AA) 2
BB) 3
CC) -3
DD) 1
2.
Which of the following is the standard form of a quadratic equation?
AA) y = mx + b
BB) y = ax^2 + bx + c
CC) y = ax^3 + bx^2 + cx + d
DD) y = A sin(Bx + C)
3.
What is the y-intercept of the line represented by the equation y = -4x + 5?
AA) -4
BB) 4
CC) 5
DD) -5
4.
Which of the following equations represents a cubic function?
AA) y = -2x^2 + 3x + 1
BB) y = 4x^3 - x
CC) y = 5x + 7
DD) y = 3
5.
What is the vertex of the quadratic function y = x^2 - 4x + 3?
AA) (2, -1)
BB) (2, 1)
CC) (1, 2)
DD) (0, 3)
6.
For the function f(x) = 2x^3 - 5x + 4, what is the value of f(1)?
AA) 1
BB) 1
CC) 0
DD) 3
7.
Which of the following statements about the graph of the function y = -x^2 is true?
AA) It opens upwards
BB) It opens downwards
CC) It has a positive vertex
DD) It is linear
8.
What is the slope of the line passing through the points (2, 3) and (4, 7)?
AA) 2
BB) 4
CC) 1
DD) 0
9.
What is the equation of the line with a slope of 2 that passes through the point (0, 1)?
AA) y = 2x + 1
BB) y = 1
CC) y = 2x - 1
DD) y = -2x + 1
10.
Which of the following is a characteristic of a cubic function?
AA) It can have at most two turning points
BB) It can have at most one real root
CC) It can have three real roots
DD) It is always increasing
B
True/False Questions
Circle True or False for each statement.
1.
The graph of a linear function is always a straight line.
2.
A quadratic function can have a maximum of two x-intercepts.
3.
The y-intercept of a cubic function can be any real number.
C
Short Answer Questions
Answer each question in the space provided.
1.
Find the x-intercepts of the quadratic equation y = x^2 - 5x + 6.
2.
What is the general form of a linear equation?
3.
Determine the vertex of the parabola defined by the equation y = 2(x - 1)^2 + 3.
4.
What is the leading coefficient of the cubic function f(x) = -3x^3 + 2x^2 - x + 5?
5.
Write the equation of a line that has a gradient of -2 and passes through the point (3, 4).
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- Created
- 4/14/2025
- Updated
- 12/29/2025
- Type
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