All Tasks - Asymptote

Give the coordinates of the vertex S of the graph of f(x) = x² + 2x + 2.

There is given the graph of the funktion f(x) = x² + e. Cross all senentences, which are correct for the graph.

A bridge has a span of 60m and a height of 18 m. Cross a possible term to describe the shape of the bridge, when the origin of the coordinate system is in the left point of the bridge.

The Chinese tabletennis player Ma Long is famous for his balloon defense. In one case, he make a ballon defense with 3.8 m height and a range of 10.6 m. The flight path can be described by f(x) = - 0.14x² + 3.8 Cross all correct answers for this description.

The cross section of a lake can be approximately described by f(x) = 0.0016x². The depth of the lake is 38m. Calculate the area of the circular water surface area in m².

At a loft, there should be integrated a window like you can see it at the image. The owner of the loft wants a window as big as possible. Calculate x for the largest window.