# How do you find the vertex, and tell whether the graph #y = 14 - 7/5 abs(x - 7)# is wider or narrower than #y=absx#?

##### 1 Answer

Compare this equation to the basic (or 'parent') equation:

The basic (parent) function is

The question asks about

This can be rewritten:

**Vertex**

If we replace

we replace

translate the graph

and

So the new vertex is at

(Note)

The vertex of

In

**Wider or Narrower**

Multiplying by a negative reflects the graph across the

(It makes

Multiplying the function by a number bigger than