Given that f(x) = x 2 6x + 18, x 0, a. Express f(x) in
Question:
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 the full answer
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Ankit Jangra
Career Summary: Over twenty five years of teaching experience, more than half of which in Engineering subjects and a significant half in MBA entrance level exams. Here is a short gist.
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Related Book For 
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
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