Vertex of - 2 (x+3) ^2+7

The vertex is (-3, 7)

Step-by-step explanation:

As the equation is already in 'rectangular form), to work out the vertex, we can just compare this equation to that of the standard parabola y = x^2, and in particular, consider how it has been translated:

the (x+3) part moves the graph the the left 3 (i. e in the negative direction), while the + 7 moves the graph up 7.

So as the vertex of the simple parabola y = x^2 is (0,0), the vertex of this graph is just (-3,7).

Note that the - 2 at the front doesn't impact this vertex - this - 2 just changes the 'scale' of the parabola (i. e makes it more narrow, and also turns it upside down as it's a negative number).