# How do you tell whether the graph opens up or down, find the vertex and the axis of symmetry of #y=3(x+4)^2-2#?

##### 2 Answers

See below.

#### Explanation:

When a quadratic is arranged in the form

From example:

vertex is

axis of symmetry is

If

If

As the

Vertex

So axis of symmetry is

#### Explanation:

If you expand the brackets and multiply by the three the first term is

As this is positive the graph is of general shape

Suppose it had been negative then in that case the graph would be of form

The given equation format is of type 'completing the square' also known as 'vertex form'.

Vertex