Mathematics 0580 · IGCSE · Algebraic manipulation

Algebraic manipulation — practice question

The expression $y = x^2 + 7x - 5$ may also be expressed in the form $y = (x + a)^2 + b$.
(main)[3]

Find the values of $a$ and $b$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: So $a=3.5$ or $\frac{7}{2}$, while $b=-17.25$ or $-\frac{69}{4}$.

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