For this case, the parent function is given by:
[tex]G (x) = x ^ 2
[/tex]
Applying the following transformation we have:
Vertical displacement
Assume k> 0,
To graph y = f (x) + k, move the graph k units up.
We have then:
[tex]F (x) = G (x) + 3
F (x) = x ^ 2 + 3[/tex]
Answer:
the equation of F (x) is given by:
[tex]F (x) = x ^ 2 + 3[/tex]
