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
P^2-2p-24
p^2-6p+4p-24
p(p-6) +4(p-6)
(p+4)(p-6) is answer D
The answer is 60 this is the last
Answer:
(8,1) (6,8) (-4,-3)
Step-by-step explanation:
all you do is change the sign on your x
Answer: d= +5-2 = 3
Step-by-step explanation:
An elevator is two floor below the ground level. Any distance below the ground level is always measured with the negative notation.
So the location of the elevator given by (-2)
Now when elevator goes up by 5 floors, the location of elevator relative to the ground level will be (+5)
d=+5-2
