Question: What is the vertex of the parabola given by the equation y = x^2 - 4x + 3?

Options:

1. (2, -1)
2. (2, 1)
3. (1, 2)
4. (3, 0)

Correct Answer: (2, -1)

Solution:

Step 1: Use the vertex formula x = -b/(2a): x = 4/(2*1) = 2. Step 2: Substitute x back into the equation: y = (2)^2 - 4(2) + 3 = 4 - 8 + 3 = -1. Step 3: Vertex is (2, -1).