Question

I do not understand how they want this graph; there talking about the graph shifting, and I'm not getting it

Answer 1

We want to sketch the graph

`f(x)=9-3(x+2)^2`

The graph of the function is given below

Brief Explanation

We start from the graph

`f(x)=x^2`

we shift it to the left by 2 unit, it becomes

`f(x)=(x+2)^2`

we perform a vertical stretch by a factor of 3

`f(x)=3(x+2)^2`

we reflect over the x - axis

`f(x)=-3(x+2)^2`

Lastly, we shift it up by 9 units

`f(x)=9-3(x+2)^2`