Determine the Intersection Points: Graphing y = (x-1)(x-1)

To solve this problem, we'll determine the intersection points of the function $y = (x - 1)(x - 1)$ with the x-axis by following these steps:

• Step 1: Set the function equal to zero to find where it intersects the x-axis.
• Step 2: Solve the equation $(x - 1)^2 = 0$.
• Step 3: Determine the x-coordinate(s) from this equation.
• Step 4: The y-coordinate will be zero at these points.

Let's work through these steps:

Step 1: We set the given function to zero: $y = (x - 1)^2 = 0$.

Step 2: By solving the equation $(x - 1)^2 = 0$, we apply the property that a square is zero only if the base is zero.

Step 3: Solving $(x - 1) = 0$, we find:

$x = 1$

Step 4: The corresponding point on the graph is $(1, 0)$, indicating where the function crosses the x-axis.

Therefore, the point of intersection of the function with the x-axis is $(1, 0)$.