In each case the parabola is transformed as indicated. Write the equation of the new parabola in the form.

a) The parabola is compressed vertically by a factor of 0.5 and translated to the left 7 units.

b) The parabola is stretched vertically by a factor of 3, translated up to 7 units and to the right 8 unit's.

c) The parabola is reflected in the y-axis and then translated down 4 units.