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
Answer:
Please not all the questions came
Step-by-step explanation:
So I can't help I am very much sorry
Answer:
628.32
Calculate by using the equation πr² where r is the radius of the circle
5/30+4/6
5/30=1/6
1/6+4/6=5/6
5/6
Hope I helped!
Answer:
3/4,
12/16,
18/24,
24/32
30/40
...So on, So on...
Step-by-step explanation:
Any fraction that you multiply by the same number on the bottom and on top.
So, multiply by two, what you do to the top do to the bottom. = 12/16
Multiply by three = 18/24
So on, so on.
Or you can reduce, 6/8 divide by 2 = 3/4.
I'm gonna give you 5 equivalent equations. I also taught you how to do it!