Equation of parabola is y = 1 4 x 2 Explanation: Vertex is at ( 0 , 0 ) , Directrix is y = − 1 Equation of parabola is y = a ( x − h ) 2 + k ; ( h , k ) being vertex. y = a ( x − 0 ) 2 + 0 or y = a x 2 . Directrix is below the vertex , so parabola opens upward and a is positive . The distance of directrix from vertex is D = 1 , We know D = 1 4 | a | or 1 = 1 4 | a | or a = 1 4 . Equation of parabola is y = 1 4 x 2 graph{1/4 x^2 [-12.66, 12.65, -6.33, 6.33]} [ Ans]
