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:
She added 83 instead of subtracting
Step-by-step explanation:
83 + n = 110
We want to do the opposite to n
We are adding 83 to n. The opposite is subtract 83
83+n-83 = 110-83
n =27
Mia
83 + n = 110
83 + 83 + n = 110 + 83
163+n=193
Answer:
i would love 2 answer this but...
Step-by-step explanation:
but you lied by saying 100 points um i only see 5 points.
Answer: y= 12x +40
Step-by-step explanation:
Obviously when you add 3 to f(x) and overall g(x)=4(2)^x+3
and graph goes 3 times up