Answer:
The answer is that the turning point, or vertex is: (4, 19)
Step-by-step explanation:
Given:
x^2 + 8x + 3
Separate out the first two terms with parenthesis:
(x^2 + 8x) + 3
Add 16 to complete the square, in the parenthesis and to the constant:
(x^2 + 8x + 16) + 3 + 16
Reduce:
(x + 4)^2 + 19
This is in the form:
(x + p)^2 + q
The vertex is at: (4, 19)
