Final answer:
The coordinates of the minimum point are (2, 17).
Step-by-step explanation:
To find the coordinates of the minimum point, we need to use the formula x = -b/(2a) to find the x-coordinate, and then substitute that value into the original equation to find the y-coordinate. In this case, the function is y = x² - 4x + 21, so a = 1, b = -4, and c = 21. Plugging these values into the formula, we find x = -(-4)/(2*1) = 2. Therefore, the x-coordinate of the minimum point is 2.
Substituting x = 2 into the original equation, we get y = (2)² - 4(2) + 21 = 4 - 8 + 21 = 17. Therefore, the y-coordinate of the minimum point is 17.
Therefore, the coordinates of the minimum point are (2, 17).