(5) Total / 10 7 Sketching curves Question 1 In the cubic polynomial f(x), the coefficient of x3 is 1. The roots of f(x) = 0 are -1, 2 and 5. Sketch the graph of y = f(x) (3) Question 2 Sketch the graph of y = 9 x2 – (3) Question 3 The graph below shows the graph of y = On the same axes plot the graph of y = x2 5x + 5 for 0 x 5 – ≤ ≤ (4) Total / 10 8 Transformation of functions Question 1 ( ) The curve y = x2 4 is translated by – Write down an equation for the translated curve. You need not simplify your answer. (2) Question 2 This diagram shows graphs A and B.
(5) Total / 10 7 Sketching curves Question 1 In the cubic polynomial f(x), the coefficient of x3 is 1. The roots of f(x) = 0 are -1, 2 and 5. Sketch the graph of y = f(x) (3) Question 2 Sketch the graph of y = 9 – x2 (3) Question 3 The graph below shows the graph of y = On the same axes plot the graph of y = x2 – 5x + 5 for 0 ≤ x ≤ 5 (4) Total / 10 8 Transformation of functions Question 1 The curve y = x2 – 4 is translated by ( ) Write down an equation for the translated curve. You need not simplify your answer. (2) Question 2 This diagram shows graphs A and B.