What is the x-intercept of the graph of y = x² - 4x + 4?

Solution:

The x-intercept of the graph is the point where the graph cuts the x-axis.

So at that point, the y coordinate will be zero.

The given quadratic equation is

y = x² - 4x + 4

Taking y = 0

0 = x² - 4x + 4

It is a perfect square of (x - 2)

We can write it as

(x - 2)² = 0

Taking square root on both sides

x - 2 = 0

x = 2

Therefore, the x-intercept of the graph is x = 2.

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What is the x-intercept of the graph of y = x² - 4x + 4?

Summary:

The x-intercept of the graph of y = x² - 4x + 4 is x = 2.