Solution
We want to sketch the graph
[tex]f(x)=9-3(x+2)^2[/tex]
The graph of the function is given below
Brief Explanation
We start from the graph
[tex]f(x)=x^2[/tex]
we shift it to the left by 2 unit, it becomes
[tex]f(x)=(x+2)^2[/tex]
we perform a vertical stretch by a factor of 3
[tex]f(x)=3(x+2)^2[/tex]
we reflect over the x - axis
[tex]f(x)=-3(x+2)^2[/tex]
Lastly, we shift it up by 9 units
[tex]f(x)=9-3(x+2)^2[/tex]
