# Find the vertex and axis of symmetry of this: #y = -3 (x + 4)^2 +2#?

##### 1 Answer

The vertex is the point of coordinates

The axis of symmetry is the (vertical) line of equation

#### Explanation:

In the equation *parabola*.

The equation of a general parabola can be expressed in two ways:

**Standard Form:**#y=ax^2+bx^2+c# where#a,b,c in RR# are arbitrary coefficients.**Vertex Form:**#y=a(x-h)^2+k# where#a in RR# is an arbitrary coefficient and#(h,k) in RR^2# are the (arbitrary) coordinates of the vertex.

In this case, the equation is written in the Vertex Form. This form is especially useful to find the vertex and the axis of symmetry.

It's easy to find the vertex: since we have the Vertex Form, we can detect the values of

The axis of symmetry comes naturally from the information on the vertex, because the axis of symmetry intersects the parabola always at the vertex