a. Graph the parabola that opens down, has a vertex of (2, 9), and passes through the points (0, 5), (1, 0), and (2, 7). (To draw the graph, you will plot the points given, and then determine three additional points on the other side of the parabola using symmetry.) [4 points]

b. If the equation of the parabola that you graphed in part a. is written in the form f (x) = a(x h) 2 + k, what are the values for h and k? [1 point] h = k =

c. If a is equal to 1, write the equation of the graphed parabola in the form f (x) = a(x h) 2 + k.