from the graph we can see that the vertex is at h = -2 and k = - 4, we also know that the parabola runs through the point (-1 , 0)
![\stackrel{vertex}{(\stackrel{h}{-2}~~,~~\stackrel{k}{-4})}\qquad y=a[x-(-2)]^2-4\implies \underline{y=a(x+2)^2-4} \\\\\\ \begin{cases} x=-1\\ y=0 \end{cases}\qquad \implies 0=a(-1+2)^2-4\implies 0=a-4\implies 4=a \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \underline{y=4(x+2)^2-4}~\hfill](https://tex.z-dn.net/?f=%5Cstackrel%7Bvertex%7D%7B%28%5Cstackrel%7Bh%7D%7B-2%7D~~%2C~~%5Cstackrel%7Bk%7D%7B-4%7D%29%7D%5Cqquad%20y%3Da%5Bx-%28-2%29%5D%5E2-4%5Cimplies%20%5Cunderline%7By%3Da%28x%2B2%29%5E2-4%7D%20%5C%5C%5C%5C%5C%5C%20%5Cbegin%7Bcases%7D%20x%3D-1%5C%5C%20y%3D0%20%5Cend%7Bcases%7D%5Cqquad%20%5Cimplies%200%3Da%28-1%2B2%29%5E2-4%5Cimplies%200%3Da-4%5Cimplies%204%3Da%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20~%5Chfill%20%5Cunderline%7By%3D4%28x%2B2%29%5E2-4%7D~%5Chfill)
The answer is 42/35
Have a nice day
2/5 = 2/10 + k
multiply both sides (each term) by 10, we get
10×2/5 = 10× 2/10 + k ×10
4 = 2 + 10k
OR 10k = 4 - 2
10 k = 2
k = 2 / 10
Or k = 1/5
Area of a rectangle = Length * width.
Small rectangle A = 1m * 3m = 3 square meters
Big rectangle A = 5m * 6m = 30 square meters.
30 square meters + 3 square meters = 33 square meters
Daniel needs 33 square meters of carpet tiles
Answer:
Center and Radius
Rewrite in standard form to find the center
(k,h)
and radius r
.Center:
(3,5)
Radius:
2
