Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
• If a > 0 then vertex is minimum
• If a < 0 then vertex is maximum
Given
y = x² + 6x + 10
(a)
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² + 6x
y = x² + 2(3)x + 9 - 9 + 10
y = (x + 3)² + 1 ← in vertex form
(b)
Since a = 1 > 0 then vertex is a minimum
(c)
(h, k ) = (- 3, 1 ) ← coordinates of vertex
