# What is the x-intercept of the graph of y=x^2-4x+4?

Sep 6, 2015

x intercept is 2

#### Explanation:

$y = {x}^{2} - 4 x + 4$

To find the x-intercept , find the value of x at y = 0

At y = 0; ${x}^{2} - 4 x + 4 = 0$
It is a quadratic equation. It is a perfect square.
${x}^{2} - 2 x - 2 x + 4 = 0$
x (x -2) -2(x - 2) = 0
(x -2) (x -2) = 0
x = 2

x intercept is 2

graph{x^2-4x+4 [-10, 10, -5, 5]}