Question

How do you sketch the graph of `y=-3(x+1)^2+2` and describe the transformation?

Answer 1

To sketch the graph you have to sketch `y=-3x^2` and translate it by `vec(v)=[-1;2]`

Explanation:

The graph can be obtained by first drawing the graph of `y=-3x^2` and then moving it by 1 unit left and 3 units up
(or by a vector `vec(v)=[-1;2]` )

graph{(y+3x^2)(y+3(x+1)^2-2)=0 [-10, 10, -5, 5]}