Question

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

y = x2 - 5 

Im 100% sure it is the third Graph just wanted verification plus i got it right.

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