Equations Of A Parabola

Equations of Parabolas Find an equation for each of the following parabolas: 1.) x-intercepts -7 and 4, y-intercept6 2.) x-intercepts are 3 and 12, passing through the point (0,18) 3.) y = f(x) where f(3) = f(6) = 0 and f(0) = 10 4.) y = f(x) where f( 1) = f(4) = 0and f(5)-7 5.) x-intercepts are -2 and 6, maximum value is 8 6.) x-intercepts are -4 and 10, minimum value is -12 7.) x-intercepts are -2 and 8 and the vertex is (3, -15) 8.) vertex = (1,3) and passes through the point (4, 21) 9.) vertex = (-2, -5) and passes through the point (-3, 0) 10.) vertex = (-1,4) and passes through the point (-1, 12) 11.) a = 3, x = -3 is the axis of symmetry and passes through the point (-3, -4) 12.) equation has the form y = (x - h)2 + 4 and passes through the point (2, 13) 13.) passes through the points (-2, 1), ( 0, -5) and ( 2,1)

14.) Has x - 3 as its axis of symmetry and passes through the points (2, 5) and (-1, -25) 15.) Has the y-axis as its axis of symmetry and passes through the points (-2,1) and (-5, 13)