Answer:
B. The graph would shift 5 units up.
Step-by-step explanation:
Before the change:
Before the change, the function was given by:
[tex]y = x^2 - 3[/tex]
After the change:
After the change, the function was given by:
[tex]y = x^2 + 2[/tex]
Considering the function as it was before the change, it can also be written as:
[tex]y = x^2 - 3 + 5[/tex]
Which means that 5 was added to the function, and when a number n is added to a function, there function is shifted n units up. So the correct answer to this problem is given by option B.