The standard method for a graph is :
0. f(x) + n - shift the graph n units up
,
1. f(x) - n - shift the graph n units down
,
2. f(x - n) - shift the graph n units to the right
,
3. f(x + n) - shift the graph n units to the left
Since from the given equation we have graph y = x^2-8
to make it y= x^2 -3
add 5 on the both side of equation y = x^2-8
y = x^2-8
y + 5 = x^2 - 8 + 5
y + 5 = x^2 - 3
From the above condition (1),
The graph y + 5 = x^2 - 3 will moves 5 units up
Answer : The graph y = x^2 - 3 will moves 5 units up