Question

What is function in maths?

[For example trig functions, polynomial functions.
Please explain in layman language if possible. And do not cópy and paste those complex statements from internet.]​

Answer 1

Answer:

Transforming Graphs

If y = f(x), the graph of y = f(x) + c (where c is a constant) will be the graph of y = f(x) shifted c units upwards (in the direction of the y-axis).

If y = f(x), the graph of y = f(x + c) will be the graph of y = f(x) shifted c units to the left.

If y = f(x), the graph of y = f(x – c) will be the graph of y = f(x) shifted c units to the right.

If y = f(x), the graph of y = af(x) is a stretch of the graph of y = f(x), scale factor (1/a), parallel to the x-axis. [Scale factor 1/a means that the "stretch" actually causes the graph to be squashed if a is a number greater than 1]

Example

The graph of y = |x - 1| would be the same as the above graph, but shifted one unit to the right (so the point of the V will hit the x-axis at 1 rather than 0).