For each of the following curves:

i. Factorise the function.

ii. Work out the coordinates of the turning point.

iii. State whether the turning point is a maximum or minimum.

iv. Sketch the graph, labelling the coordinates of the turning point and any points of intersection with the axes.

a. y = x² + 7x + 10

b. f(x) = 16 − 6x − x²

c. y = 5 − 9x − 2x²

d. f(x) = 2x² + 11x + 12