The graphs below have the same shape. What is the equation of the blue graph?

For this case we have that by definition of vertical translations of functions, it is fulfilled:
Assume [tex]k> 0[/tex]:
To graph [tex]y = f (x) + k[/tex], the graph k units is moved up.
To graph [tex]y = f (x) -k[/tex], the graph moves k units down.
In the figure it is observed that:
The original function is [tex]G (x) = x ^ 2[/tex], the function was moved 4 units down. So, the new function is:
[tex]F (x) = x ^ 2-4[/tex]
Answer:
Option B
Answer:
Option B is correct.
Step-by-step explanation:
G(x) = x^2
then f(x) = x^2-4
since the graph is shifted 4 units down because when something is subtracted from the function the graph is shifted down.
that's why f(x) = x^2-4.
Hence Option B is correct.