Question a. Factorise . b. Show that can be written as . c. A curve has equation . i. Write down the equation of its line of symmetry. ii. Find the coordinates of its vertex. iii. Sketch the curve, indicating the values of the intercepts on the x-axis and the y-axis. Solution a. b. c. i. We are given […]
Question The quadratic equation has real roots. a. Show that . b. Hence find the possible values of k. Solution a. We are given following quadratic equation which has real roots. For a quadratic equation , the expression for solution is; Where is called discriminant. If , the equation will have two roots. If , […]
Question a. Express in the form , where p and q are rational numbers. b. Hence write down the minimum value of the expression . c. Describe the geometrical transformation that maps the graph of onto the graph of . Solution a. We are given; We use method of “completing square” to obtain the desired form. Next we complete the […]