Question

10

Answer 1

Answer:

$f(x) = 2\cdot (x+3)+1$

Step-by-step explanation:

The parabola equation containt two key references. First, the components of the vertex (h, k) and, second, the vertex constant (C), whose sign indicates if vertex is an absolute minimum and absolute maximum. The parabola is modelled after this expression:

$y - k = C\cdot (x-h)^{2}$

$y = C\cdot (x-h)^{2}+k$

If $C > 0$. then vertex is an absolute minimum, otherwise it is an absolute maximum.

According to the graphic, vertex is an absolute minimum (C > 0) and is located at (-3, 1).

Hence, the right answer is $f(x) = 2\cdot (x+3)+1$.