The table below is for the relation \(y = 2 + x - x^{2}\)

x -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 2.5 3
y -4 -1.75 0 1.25 2 2.25 2 1.25 0 -1.75 -4

(a) Using a scale of 2cm to 1 unit on each axis, draw the graph of the relation in the interval \(-2 \leq x \leq 3\).

(b) From your graph, find the greatest value of y and the value of x for which this occurs.

(c) Using the same scale and axes, draw the graph of \(y = 1 - x\)

(d) Use your graphs to solve the equation \(1 + 2x - x^{2} = 0\)

 

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