# How do I find the vertex, axis of symmetry, y-intercept, x-intercept, domain and range of #y=2(x+3)^2+6#?

##### 1 Answer

Sep 25, 2015

Vertex (-3,6),axis of symmetry x= -3,domain is R(set of real numbers) and Range is [6,infinite) graph{2(x+3)^2 +6 [-25.09, 20.51, -2.37, 20.43]}

#### Explanation:

On simplifying the equation,we have

which represents a parabola.

Using

and

Thus,vertex of parabola is

Moreover,it is symmetric about its axis