Hey there!
1. The graph was flipped vertically and now opens downward.
We know this because there is a negative sign in front of the equation:
[tex]y=[/tex] [tex]\boxed-[/tex] [tex](x+3)^2+5[/tex]
2. The graph was moved 3 units to the left.
We know this because there is 3 added to x inside of the parenthesis. Remember, inside (parenthesis) is opposite and acts on x, outside (parenthesis) is same and acts on y.
[tex]y=-(x\boxed{+3})^2+5[/tex]
3. The graph was moved 5 units up.
We know this because there is 5 added at the end of the equation. It acts on y because it is outside of the parenthesis.
[tex]y=-(x+3)^2\boxed{+5}[/tex]
Hope this helps!
