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