Express $4x^2 + 8x - 5$ in the form $p(x + q)^2 + r$, where $p$, $q$ and $r$ are cons

Question

Express $4x^2 + 8x - 5$ in the form $p(x + q)^2 + r$, where $p$, $q$ and $r$ are constants to be found.[3] Hence, state the coordinates of the turning point of the curve $y = 4x^2 + 8x - 5$.[1]

Accepted Answer

(i) $4(x+1)^2-9$, so $p=4$, $q=1$, $r=-9$ (ii) $(-1,-9)$

2024 FMSS PRELIMS P1 Q1

2024 FMSS PRELIMS P1 Q1

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