Question

compare and contrast slope and average rate of change

identify the characteristics of the graph of a quadratic equation

give a real life application of a quadratic function

Answer 1

Slope of a line is how much it slants. Whereas average rate of change is a numerical quantity. The higher the slope, the more the average rate of change. For small rate of change (close to zero), the average rate of change is also close to zero. In this way, we can say that both quantities represent the same idea (for a line)

The quadratic equation's graph has a vertex, its two arms and the direction relative to the vertex in which the two arms branch out. For example. graph is below:

The trajectory of a ball is thrown at some angle is a quadratic function

For example, a ball thrown at an angle of with velocity has a trajectory is given by:

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