Mathematics 9709 · AS & A Level · Quadratics

Quadratics — practice question

(a)[2]

Write $x^2 + 6x + 5$ in the form $(x + a)^2 + b$, where $a$ and $b$ are constants.

(b)[2]

The curve given by $y = x^2$ is transformed into the curve given by $y = x^2 + 6x + 5$. Describe fully the transformation(s) involved.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The completed-square form is $(x+3)^2$.” …