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

The x-intercept(s) of a graph occur where the graph crosses the x-axis, which means that the value of y is zero at those points. To find the x-intercept of the equation y = x² + 4x + 4, we need to set y to 0 and solve for x.

Setting the equation to zero:

0 = x² + 4x + 4

This is a quadratic equation that can be factored. In this case, we can rewrite it as:

0 = (x + 2)(x + 2)

Thus, we have:

0 = (x + 2)²

To find x, we take the square root of both sides:

x + 2 = 0

Solving for x gives us:

x = -2

Since we have a repeated factor, this means that the graph only touches the x-axis at the point (-2, 0). Therefore, the x-intercept of the graph y = x² + 4x + 4 is:

x-intercept: (-2, 0)