(a) Copy and complete the following table of values for the relation \(y = x^{2} - 2x - 5\) x -3 -2 -1 0 1 2 3 4 5 y -2 -6 -2 3 10 (b) Draw the graph of the...

(a) Copy and complete the following table of values for the relation \(y = x^{2} - 2x - 5\)

(b) Draw the graph of the relation \(y = x^{2} - 2x - 5\); using a scale of 2 cm to 1 unit on the x- axis, and 2 cm to 2 units on the y- axis.

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

(d) Obtain in the form \(ax^{2} + bx + c = 0\) where a, b and c are integers, the equation which is satisfied by the x- coordinate of the points of intersection of the two graphs.

(e) From your graphs, determine the roots of the equation obtained in (d) above.