a) The (minimum) turning point is at (4, 6). You're familiar with the turning point form of a parabola -

where the turning point is at (h, k) - right?

So

*any* answer of the form

satisfies the given property. The book chose a = 3. Other concrete answers can be got by choosing a = 1, 2, 4, 1/2, ......

b) The turning point has y-coordinate y = 7. So k = 7 in the turning point form. In the turning point form, a 'controls the shape', so a = 3.

So

*any* answer of the form

satisfies the given properties. The book chose h = 0, probably the simplest answer. Other concrete answers can be got by choosing h = 1, 2, 3, -1, -2 -3, 1/2, -1/2, ......