How do you sketch the graph of #y=(-x-2)^2# and describe the transformation?
First, you have to use Binomial Multiplication (FOIL)
That first step is crucial. Many people will just distribute the square across the expression inside the parenthesis, but that is incorrect.
This is a parabola that opens up. The x coordinate of the vertex of a parabola can be found by
To get the y coordinate for the vertex, plug the -2 into your equation:
So, the vertex is at (-2,0)