Question

Please help!!

What transformations of the parent function f(x) = |x| should be made to graph, f(x) = - |x| + 5?

Answer 1

To solve this problem, you must follow these steps:

1. Multiply the graph by -1 (That will reflect the function towards the -y axis).

2. Add 5. That will move the function upwards and you will obtain y=5 as its cut point with the y axis.

You can know the graph of a function by knowing the graph of the function "father" and applying the corresponding transformations, until turning it into the function studied.

The graph of the function f(x)=|x| has the shape of a cone that passes through the point (0,0).