The curve with the equation y= ax^2 +bx +c passes through the point (1,2). The gradient of the curve is zero at the point (2,1). find the values of a, b and c.
2026-05-15 14:05:18.1778853918
AS- P1 differentiation (gradients)
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Hint: You are given that the points (1,2) and (2,1) are on the curve. This gives you two equations in terms of $a,b,c$ already. Then compute $\frac{dy}{dx}$. You are given that this is zero when $x=2$, so with this, you get another equation in terms of $a,b,c$. Then solve these simultaneously. Can you do this?