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 a minimum
• If a < 0 then vertex is a maximum
Given
y x² - 8x + 14
(a)
To complete the square
add/ subtract ( half the coefficient of the x- term)² to x² - 8x
y = x² + 2(- 4)x + 16 - 16 + 14
y = (x - 4)² - 2 ← in vertex form
(b)
Since the multiplier a = 1 > 0 then vertex is a minimum
(c)
(h , k ) = (4, - 2 ) ← coordinates of vertex
