3.6 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 more3.6 Quadratic Functions, SPM Practice (Short Question)

3.7 Quadratic Functions, SPM Practice (Long Questions)

3.7 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 more3.7 Quadratic Functions, SPM Practice (Long Questions)

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