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

We will use the concept of a quadratic equation and intercept theory to find the x-intercept of the graph of y = x^{2} – 4x + 4.

## Answer: x = 2 is the x intercept of the graph of y = x^{2} – 4x + 4.

Let us see how we will use the concept of a quadratic equation and intercept theory to find the x-intercept of the graph of y = x^{2} – 4x + 4.

**Explanation:**

The point where the graph cuts the x-axis is known as the x-intercept of the graph. Also, when the graph cuts the x-axis then at that point y coordinate of the curve becomes 0. Hence, we will also follow the same logic to find the x-intercept of the graph of y = x^{2} – 4x + 4.

If we take y = 0 then, x^{2 }- 4x + 4 = 0

The above quadratic equation is a perfect square of (x -2).

Hence, it can be written as (x - 2)^{2} = 0

Therefore, x - 2 = 0