The path of a dolphin jumping out of the water can be modeled by the function h(t)=−2t2+6t−4, where h is the height of the dolphin relative to the water level in meters at time t seconds. The graph of h(t) is given below. A function is graphed on a four quadrant coordinate plane. The horizontal t-axis and the vertical h of t-axis go from negative 1.5 to 4.5 in increments of 1. A U-shaped curve that opens downward has a vertex at approximately (1.5, 0.5) and passes through the points (1, 0) and (2, 0).

Which of the following statements is correct about the graph of h(t)?

The two zeros of h(t) are at (−1, 0) and (−2, 0).

The y-intercept of h(t) is at (−4, 0).

The axis of symmetry of h(t) is t=−32.

The vertex of h(t) is at (32, 12).