Given the equation of the function:
The given function represents a parabola
We will make a complete square to find the coordinates of the vertex
The coefficient of x = 4
Half the coefficient of x = 2
Square it give = 4
So, we will add and subtract 4
Compare the last equation with the vertex form of the parabola
So, h = -2, k = -11
So, the answer will be the coordinates of the vertex = (-2, -11)
Answer:
Grows, Factor of 2
Step-by-step explanation:
The relationship between the elapsed time, t, in years, since Takumi started studying his tree, and the total number of its branches, N(t), is modeled by the function:
For illustration, let us take the growth for the first three years after he started studying the number of branches.
We notice that for each subsequent year, the number of branches doubles.
Therefore:
Every year, the number of branches <u>grows</u> by a factor of <u>2.</u>
