8.
$$4 x - 5 - x ^ { 2 } = q - ( x + p ) ^ { 2 }$$
where \(p\) and \(q\) are integers.
- Find the value of \(p\) and the value of \(q\).
- Calculate the discriminant of \(4 x - 5 - x ^ { 2 }\)
- On the axes on page 17, sketch the curve with equation \(y = 4 x - 5 - x ^ { 2 }\) showing clearly the coordinates of any points where the curve crosses the coordinate axes.
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