Complete Table and Graphing Quadratic Equations

7 (a) Copy and complete the table of values for the relation $y = 2x^2 - x - 2$ for $-4 \le x \le 4$.

| x | -4 | -3 | -2 | -1 | 0 | 1 | 2 | 3 | 4 |

|---|---|---|---|---|---|---|---|---|---|

| y | | 19 | | | -2 | | | | 26 |

(b) Using a scale of $2\text{ cm}$ to $1\text{ unit}$ on the $x$-axis and $2\text{ cm}$ to $5\text{ units}$ on the $y$-axis, draw the graph of $y = 2x^2 - x - 2$ for $-4 \le x \le 4$.

(c) On the same axes, draw the graph of $y = 2x + 3$.

(d) Use the graph to find the: (i) roots of the equation $2x - 3x - 5 = 0$; (i) range of values of $x$ for which $2x^2 - x - 2 < 0$.

This question includes visual content: A table with two rows: the first row contains x-values from -4 to 4, and the second row contains y-values corresponding to the quadratic function $y = 2x^2 - x - 2$. Some cells in the table are empty, while others are filled: for $x = -4$, $y = 19$; for $x = -3$, $y = 19$; for $x = 0$, $y = -2$; for $x = 4$, $y = 26$.