Quadratic Functions Structured Questions | Cambridge O Level Additional Mathematics

Question 1 of 5 · 8 marks

Quadratic Functions · Quadratic Extrema & Surd Roots

3 parts

Additional Mathematics 4037 · Question 1Paper 2 · Calculator[8 marks]

A curve has equation $y = -3x^2 + 12x - 5$ .

(a)

Express $y$ in the form $a(x-h)^2 + k$ , where $a, h$ and $k$ are constants.

[3]

(b)

State the coordinates of the turning point of the curve and justify its nature.

[2]

(c)

Find the exact coordinates of the points where the curve crosses the $x$ -axis.

[3]