Question: Given that f(x) = x 2 6x + 18, x 0, a. Express f(x) in the form (x a) 2 + b,

Given that f(x) = x² − 6x + 18, x ≥ 0,

a. Express f(x) in the form (x − a)² + b, where a and b are integers. The curve C with equation y = f(x), x ≥ 0, meets the y-axis at P and has a minimum point at Q.

b. Sketch the graph of C, showing the coordinates of P and Q. The line y = 41 meets C at the point R.

c. Find the x-coordinate of R, giving your answer in the form p + q√2,where p and q are integers.

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a fx x 6x 18 x 0 fx x 23x 9 9 x 0 x 23x 3 9 x 0 x 3 9 x 0 Therefore expressing fx in the form of x a ... View full answer

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