(a) Copy and complete the following table for the relation \(y = \frac{5}{2} + x - 4x^{2}\)

x -2.0 -1.5 -1.0 -0.5 0 0.5 1 1.5 2.0
y -15.5     1 2.5        

(b) Using a scale of 2cm to 1 unit on the x- axis and 2cm to 5 units on the y- axis, draw the graph of the relation for \(-2.0 \leq x \leq 2.0\).

(c) What is the maximum value of y?

(d) From your graph, obtain the roots of the equation \(8x^{2} - 2x - 5 = 0\)

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