Math parable please help

Vertex shape: move, stretch and compress parabolas

Shift along the y-axis

If you add a constant e to the function term of the function f, then the graph of the new function is a normal parabola shifted along the y-axis. The vertex of this parabola is.

Shift along the x-axis

If you subtract a constant d from the arguments of the function f, then the graph of the new function is a normal parabola shifted along the x-axis. The vertex of this parabola is.
=

Elongation, compression and opening

If you multiply the function term by a constant factor a, the shape or the opening of the associated parabola changes. The result is the graph of the function g with. The factor a is also called the stretching factor. The vertex of this parabola lies in the point.

Vertex shape

Quadratic function terms are often given in the vertex form: You can read off the coordinates of the vertex of the associated parabola directly from them: You can also read off the stretch factor of the parabola. It is the factor in front of the bracket.