2.11.1 Example 1 – Graph Sketching

Example 1
Express

y = 5 + 4 x - x^{2}

in the form

y = a - {(x + b)}^{2}

, where a, b, and c are constants. Hence state the maximum value of y and the value of x at which it occurs. Sketch the curve

y = 5 + 4 x - x^{2}