      #### Vertex of the graph

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

Training
9      #### Graph and term

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

Training
9      #### Bridge

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.

Modeling
9      #### Tabletennis

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.

Modeling
9      #### Lake

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.

Modeling
9      #### Area of a window

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.