Equations Of A Parabola (ii)

Using the information given below, find the EQUATION of each of the parabolas described: 1.) The parabola has vertex (1,3) and passes through the point (4,21)

2.) The parabola has vertex (-2, 6) with y-intercept -2,

3.) The parabola has vertex (-3,4) and one x-intercept is -1.

4.) The parabola has a = 3 , has x = -3 as its axis of symmetry and it passes through the point (-3, -4)

5.) The parabola has x-intercepts -3 and 5 and passes through the point (1,12)

6.) The parabola passes through the points (-3,0) (-1,8) and (1,0)

7.) The parabola has maximum value 2, and x-intercepts -5 and 1

8.) The parabola has x-intercepts 0 and 8, and minimum value —8

9.) The parabola has zeroes -2 and 6 and has range all values of y where y > -12

10.) If the parabola y = -3(x - I)2 + k passes through the origin, find k.