1 7 12 Which function describes a parabola that opens downward and has a vertex of 2 3 a f x x 2 3 b f x x 2 3 c f x x 2 3 d f x x 1 2 7 d f x x 2 3 13 List the sequences of steps required to graph the function f x x 4 6 a horizontal translation 4 units to the right vertical stretch by a factor of 1 and a translation 6 units down b horizontal translation 4 units to the right reflection over the x axis and a vertical translation 6 units down c horizontal translation 4 units to the left vertical translation 6 units up and a reflection over the x axis d horizontal translation 4 units to the left reflection over the x axis and a vertical translation 6 units down 14 List the sequences of steps required to graph the function f x 3 x 7 1 a horizontal translation 7 units to the right vertical stretch by a factor of 1 and a translation 6 units down b horizontal translation 7 units to the right vertical stretch by a factor of 3 and a translation 1 unit down c horizontal translation 7 units to the left vertical stretch by a factor of 3 and a translation 1 unit up d horizontal translation 7 units left reflection over the x axis by a factor of 3 and a translation 1 unit down 15 Consider a parabola P that opens upward and has a vertex 1 3 Now find the equation of a new parabole that results if P is reflected over the x axis and translated 3 units down a f x x 4 3 b f x x 1 6