Answer:
Step-by-step explanation:
Please use the symbol " ^ " to indicate exponentiation: f(x) = x^2 + 8x + 6.
Rewrite this with additional space between the 8x and 6 terms:
x2 + 8x + 6
Take half of the coefficient of x, which is half of 8, or 4.
Square this result: square 4, obtaining 16.
In the space between the 8x and 6 terms, write in + 16 - 16:
x^2 + 8x + 16 -16 + 6
Rewrite x^2 + 8x + 16 as the square of a binomial:
(x + 4)^2 - 10
Comparing this to the standard vertex equation of a quadratic,
(x - h)^2 + k, we see that h must equal -4 and that k must equal -10.
Thus, the vertex of this parabola is (-4, -10), and the minimum value of the function is +10.
Weren't there two more possible answers? If so, please share all of the possible answers. Thank you.
