Step-by-step explanation:
y = x² − 14x + 24
To convert to vertex form, complete the square. Take half of the second coefficient, square it, then add the result to both sides.
(-14/2)² = 49
y + 49 = x² − 14x + 49 + 24
y + 49 = (x − 7)² + 24
y = (x − 7)² − 25
The vertex is (7, -25).
