# What is the vertex form of #y= (x - 3) (x - 2) #?

##### 2 Answers

#### Explanation:

Firstly, we expand the right hand side,

Now we complete the square and do a bit of algebraic simplification,

vertex form:

#### Explanation:

The general vertex form is:

with a vertex at

(So that's our target).

Given

Expanding the right-side by multiplying:

Complete the square

Re-write as a squared binomial and simplified constant

which is in the general form (assuming a default value

The graph below for

graph{(x-2)(x-3) [-0.45, 10.647, -2.48, 3.07]}