Higher November 2023 Unit 2 Q1
1. The table below shows some of the values of \(y = x^2 + 4x + 5\) for values of \(x\) from –4 to 1.
| \(x\) | –4 | –3 | –2 | –1 | 0 | 1 |
|---|---|---|---|---|---|---|
| \(y = x^2 + 4x + 5\) | 5 | 2 | 2 | 5 |
(a) Complete the table by finding the value of \(y\) for \(x\) = –2 and for \(x\) = 1. [2]
(b) On the graph paper below, draw the graph of \(y = x^2 + 4x + 5\) for values of \(x\) from –4 to 1. [2]
| Scheme | Marks | Comments |
|---|---|---|
| 1 10 | B2 | B1 for each. Table takes precedence if conflicting values given. |
| Scheme | Marks | Comments |
|---|---|---|
| At least 4 correct plots and no incorrect plot. | P1 | FT ‘their (−2,1)’ and ‘their (1,10)’ OR (−2,1) and (1,10) plotted. Allow ± ‘½ a small square’. |
| A smooth curve drawn through their plots. | C1 | FT ‘their 6 plots’. OR a curve through the 4 given points AND (−2,1) and (1,10) Allow intention to pass through their plots. (± 1 small square horizontally or vertically.) |