Interpreting Quadratic Functions in Standard Form

The minimum point has the coordinates $(0.5,\text{-}2).$ Let's mark it! Since it is a minimum the curve will go upwards on both sides.

The zeros are $x=\text{-}1$ and $x=2.$ That is where the graph crosses the $x$-axis. We extend the blue graph so that it intersects the $x$-axis at the proper places.

We will begin by marking the zeros in a coordinate system.

The $y$-intercept is $(0,2).$ Let's also mark this point. We then draw a parabola through the points.