The graph shown represents the function f(x)=12x2−2x. A function is graphed on a four quadrant coordinate plane. The horizontal x-axis and the vertical f of x-axis go from negative 2.5 to 6.5 in increments of 1. A U-shaped curve that opens upward has a vertex at (2, negative 2) and passes through the points (0, 0), and (4, 0). All points are plotted and labeled.

Which of the following statements is true about f(x)?

The vertex and the y-intercept of f(x) are at the same point.

The y-intercept and one of the zeros of f(x) are at the same point.

The two zeros of f(x) are at the same point.

The vertex and one of the zeros of f(x) are at the same point.