➕ KSSM · Form 4 · Age 16
Quadratic Functions
78 exam-format practice questions · Additional Mathematics, Form 4 · Free to start
Lesson overview
This module introduces quadratic functions by exploring their standard, general, and vertex forms. Students will learn to identify the shape of parabolas and determine whether they open upwards or downwards based on the coefficient of x squared. A core skill involves finding the roots using factorisation, completing the square, or the quadratic formula. You will also practice sketching graphs to visualise the axis of symmetry and the maximum or minimum values at the vertex. Understanding how to transform these graphs through translations is essential for mastering the geometric properties defined in the national syllabus. Common mistakes include sign errors when applying the quadratic formula and misidentifying the direction of opening due to negative coefficients. Many students struggle with completing the square correctly, leading to incorrect vertex coordinates. Mastering these techniques prevents calculation errors and builds a strong foundation for calculus topics later in Form 5. Accurate graph sketching helps you solve real-world problems involving area maximisation or projectile motion. By avoiding these pitfalls, you ensure precision in both algebraic manipulation and graphical interpretation, which are critical for scoring well in SPM examinations.
Try these questions
Q1. The quadratic function f(x) = -2x² + 8x - 5 can be expressed in the form a(x - h)^2 + k. What is the maximum value of f(x) and the value of x for which it occurs?
Q2. The maximum value of the function g(x) = −2x² + 8x − 5 occurs at x = p. Find the value of g(p).
Q3. The curve defined by the equation $y = -x^2 + 6x - 5$ intersects the x-axis at points A and B. What is the length of the line segment AB? A. 2 B. 6 C. 8 D. 4
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