College Algebra Problems With Answers sample 9 : Equation of Parabola

 A set of college algebra problems on the equation of parabolas are presented. The solutions with explanations are at the bottom of the page. Find an equation of the parabola with focus at (0 , 4) and vertex at (0 , 0). Find an equation of the parabola with vertex at (0 , 0), the x axis is its axis of symmetry and its graph contains the point (-2 , 4). Find an equation of the parabola with vertex at (0 , 2) and focus at (0 , 6). Find the vertex, the focus, the axis of symmetry and the directrix of the parabola defined by the equation 2y 2 + 8y + x + 1 = 0 Find the vertex, the focus, the axis of symmetry and the directrix of the parabola defined by the equation x 2 - 8x - y + 2 = 0 Find an equation of the parabola with vertex at (-2 , -2) and focus at (-2 , -8). Write an equation for the parabola shown in the graph below and find the focus of the parabola. . Find an equation of the parabola with focus at (8 , 0) and directrix given by the equation x = 2. Find an equation of the parabola with directrix given by the equation y = 2, a focus on the y axis, and the point (-6 , -8) lies on the parabola. A parabolic dish with a diameter of 200 cm and a maximum depth of 50 cm is shown below. Find the focus of the dish. .