Questions: Identify the vertex of the parabola. f(x)=(x-1)^2 The vertex of the parabola is . (Type an ordered pair.)

Solution Steps

To find the vertex of the parabola given by the function \( f(x) = (x-1)^2 \), we recognize that this is a standard form of a parabola \( f(x) = (x-h)^2 + k \), where the vertex is at the point \((h, k)\). In this case, the function is already in vertex form with \( h = 1 \) and \( k = 0 \).

The given function is \( f(x) = (x - 1)^2 \). This is in the vertex form of a parabola, which is expressed as \( f(x) = (x - h)^2 + k \), where \((h, k)\) represents the vertex.

From the function \( f(x) = (x - 1)^2 \), we can identify:

• \( h = 1 \)
• \( k = 0 \)

Thus, the vertex of the parabola is given by the ordered pair \((h, k)\), which is \((1, 0)\).

Final Answer