Topical Test Additional Mathematics Quadratics Functions Answer all question. 1. Diagram 1 shows the graph of 3. Find the range of the values of x for which 3x(2 x 1) 2(2 x 5) . [3 marks] 4. The function g(x) = (x - h)2 + k intersects the x-axis at (1, 0) and (16, 0) (a) Find the values of h and k. (b) State the maximum or minimum value (as appropriate) and the value of x where this occurs. [5 marks] 5. Diagram a curve f ( x) 2( x p) 2 q , where p and q are constants. 3 shows the graph of a curve f ( x) ( x p) 2 , where p and q are constants. 2 Diagram 1 Given the straight line x = -3 is the axis of symmetry of the curve and parallel to the y-axis. Find (a) the value of p, (b) the value of q, (c) the turning point of the curve f (x) . [3 marks] 2. Diagram 2 shows the graph of Diagram 3 Find (a) the value of p and a, (b) the equation of curve f(x) is reflected along the x-axis. [4 marks] a curve g ( x) 4 2( x h) , where h is constant. 2 6. Find the range of the values of x for which 2(3x 2 x) 1 x . [3 marks] 7. Diagram 2 The curve y = g(x) has a maximum point (3, k), where k is constant. State (a) the value of h, (b) the value of k, (c) the equation of the axis of symmetry. . [3 marks] y x 2 2 px 5q 2 6q is symmetrical about the line x 3 and has a The function minimum value of 2 a. By using a completing the square method, find the values of p and q. [5 marks] b. If the graph of the function is reflected over the y-axis, find the equation of the graph. [2 marks]