SPM Form 4 Additional Mathematics Chapter 3 – Quadratic Functions

03 Quadratic Functions  Formula List General Form of Quadratic Function Graph of Quadratic Functions Axis of Symmetry Maximum and Minimum Value of Quadratic Functions Example 1 : Finding maximum/minimum point and axis of symmetry of a quadratic function  Finding the Maximum and Minimum points of Quadratic Function using completing the square Example 1 : Finding Maximum and … Read moreSPM Form 4 Additional Mathematics Chapter 3 – Quadratic Functions

3.9.1 Quadratic Functions, SPM Practice (Long Questions)

3.9.1 Quadratic Functions, SPM Practice (Long Questions) Question 1: Without drawing graph or using method of differentiation, find the maximum or minimum value of the function y = 2 + 4x – 3×2. Hence, find the equation of the axis of symmetry of the graph. Solution: By completing the square for the function in the … Read more3.9.1 Quadratic Functions, SPM Practice (Long Questions)

3.8.3 Quadratic Functions, SPM Practice (Short Question)

Question 5: Find the range of values of k if the quadratic equation 3(x2 – kx – 1) = k – k2 has two real and distinc roots. Solution: 3( x 2 −kx−1 )=k− k 2 3 x 2 −3kx−3−k+ k 2 =0 3 x 2 −3kx+ k 2 −k−3=0 a=3,b=−3k,c= k 2 −k−3 In cases of two real and distinc roots, … Read more3.8.3 Quadratic Functions, SPM Practice (Short Question)

3.7 Nature of the Roots (Combination of Straight Line and the Curve)

Nature of the Roots (Combination of Straight Line and the Curve) When you have a straight line and a curve, you can solve the equation of the straight line and the curve simultaneously and form a quadratic equation, ax2 +bx + c = 0. The discriminant, b 2 − 4 a c  gives information about the number … Read more3.7 Nature of the Roots (Combination of Straight Line and the Curve)