Question

Which graph is a translation of f(x) = x2 , according the rule:

Answer 1

For this case we have the following original function:
 $f (x) = x ^ 2$
 We apply the following transformation:
 Vertical displacements:
 Assume k> 0
 To graph f (x) - k, move the graph k units down.
 Applying the transformation for k = 5 we have:
 $y = x ^ 2 - 5$
 Therefore, the graph moves 5 units down.
 Answer:
 Third graph