This is an equation of a parabola with vertex at the origin and opening upward. The graph of this equation is shown below. You can also use the equation solver tool to find the values of x and y that satisfy the equation. For example, when x = 2, y = 4. When x = -1, the equation has no solution because x must be greater than or equal to zero.
Some additional properties of this equation are:
- The domain is [0, ∞), which means x can be any non-negative number.
- The range is [0, ∞), which means y can be any non-negative number.
- The axis of symmetry is x = 0, which means the graph is symmetric about the y-axis.
- The focus is (0, 1/4), which is a point inside the parabola where all the rays reflected from the curve converge.
- The directrix is y = -1/4, which is a horizontal line below the parabola that is equidistant from the focus and any point on the curve.