Question Library

a. Copy and complete the tables of values of y = \(2x^2 - x - 4\) for -3 ≤ x ≤ 3 x -3 -2 -1 0 1 2 3 y 17 -4 b. Using a scale of 2 cm to 1 unit on the x-axis and 2 cm to 2 unit on the y-axis, draw the graph of y = \(2x^2 - x - 4\) for -3 ≤ x ≤ 3. ci. Use the graph to find: the roots of the equation \(2x^2 - x - 4\) ii. Use the graph to find the: values of x for which y increases as x increases; iii. Use the graph to find the: minimum point of y.

The graph of the equations y = 2x + 5 and y = 2x\(^2\) + x - 1 are shown. Use the information above to answer this question. Find the point of intersection of the two graphs.

The graph of the equations y = 2x + 5 and y = 2x\(^2\) + x - 1 are shown. Use the information above to answer this question. If x = -2.5, what is the value of u on the curve?

(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 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.