Answer:
In vertex form: y = 1(x - (-3))² + 7
Vertex: Minimum (-3, 7)
Explanation:
Vertex form: y = a(x - h)² + k
Completing square (rules) :
1st rule: (x + d)² = x² + 2dx + d² and (x - d)² = x² - 2dx + d²
2nd rule: x² + 2dx = (x + d)² - d² and x² - 2dx = (x - d)² - d²
Given equation:
y = x² + 6x + 16
y = x² + 2(3)x + 3² + 7
y = (x + 3)² + 7
Into vertex form:
y = 1(x - (-3))² + 7
From this identify:
a = 1, h = -3, k = 7
Solution, vertex of this equation: Minimum (-3, 7)
