Question

The graphs below have the Same shape. what is the equation of the blue graph?

Answer 1

For this case, the parent function is given by:

`f (x) = x ^ 2`
We apply the following transformation:
Horizontal displacement:
Assume k> 0:
To move the graph k units to the right, you must graph f (x-k)
Applying the transformation for 2 units on the right we have:

`g (x) = (x-2) ^ 2`
Answer:
The function for the blue graph is given by:

`g (x) = (x-2) ^ 2`
option B