Given that x 2 + 2x + 3 (x + a) 2 + b, a. find the
Question:
Given that x2 + 2x + 3 (x + a)2 + b,
a. find the value of the constants a and b.
b. Sketch the graph of y = x2 + 2x + 3, indicating clearly the coordinates of any intersections with the coordinate axes.
c. Find the value of the discriminant of x2 + 2x + 3. Explain how the sign of the discriminant relates to your sketch in part b. The equation x2 + kx + 3 = 0, where k is a constant, has no real roots.
d. Find the set of possible values of k, giving your answer in surd form.
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a To find the values of the constants a and b we can expand the expression x a b x a b x 2ax a b Com...View the full answer
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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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