The-curve-y-ax-2-bx-c-crosses-the-y-axis-at-the-point-0-3-and-has-stationary-point-at-1-2-Find-the-values-of-a-b-and-c-

Question Number 56749 by pete last updated on 22/Mar/19

The curve y = {ax}^{2} + bx + c crosses the

y - axis at the point (0, 3) and has

stationary point at (1, 2) . Find the

values of a, b and c .

Answered by ajfour last updated on 22/Mar/19

c = 3

2 a (1) + b = 0

2 = a + b + 3

\Rightarrow 2 a + 2 = a + 3 \Rightarrow a = 1

and b = - 2 .

y = x^{2} - 2 x + 3 .

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