Answer:
y = (x-5)²+7
Explanation:
i graphed x²-10x+32 and found the vertex is at (5,7)
i used the y-intercept as a point on the curve in the formula:
y = a(x-h)²+k
32 = a(0-5)²+7
subtract 7 from each side to get:
25 = 5²a
25 = 25a
a = 1
y = (h-5)² + 7