Write an equation for a parabola with vertex at the origin, passing through (7,5), and symmetric with respect to the x-axis.

If this parabola is symmetric with respect to the x-axis and its vertex is at the origin, then this parabola has x as a function of y, thus making its equation    x = ay²where a is some constant to be determined.the question says it passes through (7,5). all that really means is that when x = 7, y = 5. use this to solve for a    x = ay²      ⇒ 7 = a(5)²    ⇒ a = 7/25the equation of a parabola that fits these conditions is x = (7/25)y²