Completing the square

Write 2x² – 16x + 7 in the form k(x + m)² + n where k, m and n are integers.

Solve (x – 1)² – 5 = 0

Circle the coordinates of the point where the curve crosses the y-axis.

(– 5, 0)
(0, – 5)
(– 13, 0)
(0, – 13)

Write down the coordinates of the maximum point of the curve.

8x² + 20x + n ≡ c(x + d)² + 3 where c, d and n are constants.

Work out the values of c, d and n.

Write 6x² – 24x + 17 in the form a(x + b)² + c where a, b and c are integers.

3x² + 2bx + 8a can be written in the form 3(x + a)² + b + 2

Work out the two possible pairs of values of a and b.