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:
atleast 1
Step-by-step explanation:
Im 99 percent sure im right its discrete data
Answer:
The first graph
Step-by-step explanation:
The second graph does not have a point at (1, -2).
The total height of the building in question is;
600 ft
<h3>Angle of Elevation</h3>
The ledge of a wall is simply a projection from a building.
Now, we are told that this ledge is 300 ft from the building.
- Angle of elevation to the building top = 60°
- Angle of depression to the building bottom = 15°
Now, from the attached image, the distance from the ledge on the building wall to the top of the building is x.
- Thus, by trigonometric ratio;
x/300 = tan 60
x = 300 × 1.732
x ≈ 520 ft
- Similarly, via trigonometric ratio;
y/300 = tan 15
y = 300 × 0.2679
y ≈ 80
Thus;
Height of building = 520 + 80
Height of building = 600 ft
Read more about angle of elevation at;brainly.com/question/2881595