The number that will be added to both side is the square of half the coeficient of x. i.e.
Answer:
$ 0, according to the information given.
Step-by-step explanation:
1. Let's review the information given to us to answer the question properly:
Fee for the rental of the truck = $ 70
Additional fee for mile driven = $ 0 or not informed
Miles driven during the day = 100
2. What is the slope?
Since there is no additional charge per mile driven or not informed, the slope is zero.
Y = x² + 4x + 4.. Since the coefficient of x² =1, is positive, then this parabola opens upward & has a minimum.
Its axis of symmetry is = -b/a = -4/1 = 4 (so x=4)
1) When x=4, y= 4²+4(4)+4 => y=36 so the VERTEX has a minimum is at (4,36)
2)FOCUS.: To be able to calculate the focus, rewrite the equation in a standard form: y-k =a(x-h)² & y = x² + 4x + 4 could be written y=(x+2)², this means that k=0 & h=-2.
Now p being the distance between the VERTEX & the FOCUS, we apply the formula (x-2)² = 4P (y-k) , but k=0 & h=2 then (x-2)² = 4P(y-0) then P =1/4
3) DRECTRICE : y=k-P = 0-1/4 ==> y=-1/4 is the directrix
