# What is the the vertex of y = x^2-4x+3?

Feb 26, 2017

(2, –1)

#### Explanation:

The vertex formula is $\frac{- b}{2 a}$

In this equation, $a = 1$, b = –4, and $c = 3$.

Plugging the numbers into the equation, you should get

$\frac{4}{2 \left(1\right)} = \frac{4}{2} = 2$

2 is the $x$ value of the equation. If you plug it into the equation, you'll end up with the $y$ value.

y = (2)^2 – 4(2) + 3
y = –1

So the vertex is (2, –1)