2. (a) Complete the table for the equation = + + 2. y x2 x – 0 1 2 3 4 x –3 –2 –1 0 2 2 0 y –10 [3] (b) On the grid below draw the graph of = + + 2 y x2 x – [4] (c) On the grid, draw the line of symmetry of your graph. [1] (d) Use your graph to find the maximum value of y. = Answer (d) y ……….…….…………… [1] (e) Draw the line = 1 on the grid. y [1] (f) Write down the two values of for which + + 2 = 1. x x2 x – = = Answer (f) x x ….………or ………… [2] 3. (a) (i) Complete the table of values for the equation = + 3x 7. y x2 – 0 1 2 x –5 –4 –3 –2 –1 3 3 y –7 –9 –7 [3] (ii) On the grid below, draw the graph of = + 3x 7 for 2. y x2 x – –5 ≤ ≤ [4] (b) (i) Use your graph to find the solutions to the equation + 3x 7 = 0. x2 – = = Answer (b)(i) x ……or x …… [2]
2. (a) Complete the table for the equation y = – x2 + x + 2. x –3 –2 –1 0 1 2 3 4 y –10 0 2 2 0 [3] (b) On the grid below draw the graph of y = – x2 + x + 2 [4] (c) On the grid, draw the line of symmetry of your graph. [1] (d) Use your graph to find the maximum value of y. Answer (d) y = ……….…….…………… [1] (e) Draw the line y = 1 on the grid. [1] (f) Write down the two values of x for which – x2 + x + 2 = 1. Answer (f) x = ….………or x = ………… [2] 3. (a) (i) Complete the table of values for the equation y = x2 + 3x – 7. x –5 –4 –3 –2 –1 0 1 2 y 3 –7 –9 –7 3 [3] (ii) On the grid below, draw the graph of y = x2 + 3x – 7 for –5 ≤ x ≤ 2. [4] (b) (i) Use your graph to find the solutions to the equation x2 + 3x – 7 = 0. Answer (b)(i) x = ……or x = …… [2]