Mathematics 9709 · AS & A Level · Quadratics

Quadratics — practice question

The curve is defined by $y = x^2 - 6x + k$, with $k$ a constant.

(i)[2]

Determine the set of values of $k$ for which the whole of the curve lies above the $x$-axis.

(ii)[3]

Find the value of $k$ so that the line $y + 2x = 7$ is tangent to the curve.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme.