They are busy grading papers and preparing for other things.
Answer:
Equation of the parabola: y = 3 - 7x^2
Step-by-step explanation:
The equation of the parabola with vertex (h,k) is y = a(x - h)^2 + k
Thus, the equation of this parabola is y = ax^2+3
To find a, use the fact that the parabola passes through the point (1,−4):
-4 = a(1)^2 +3
Solving this equation, we get that a = −7.
Thus, the equation of the parabola is y = 3 − 7x^2.
Answer:
All positive integers less than or equal to 4
Step-by-step explanation:
The domain of the function are all possible values which variable x can take.
Since x is the number of times the root splits, x can take values 1 (1 time splits), 2 (2 times splits), 3 (3 times splits), 4 (4 times splits).
The variable x cannot take negative values because it cannot split -2 times.
The variable x cannot take integer values greater than 4, because this type of plant root splits 4 times while growing in the ground.
Hence, the domain of the function f(x) is all positive integers less than or equal to 4.
