The general equation is y-k=a(x-h)² where (h,k) is the vertex.
So in this case we have y+12=a(x+6)².
Plug in x=0, y=-24: -12=36a, and a=-⅓. Therefore y+12=-⅓(x+6)².
The area is 25π
Hope this helps
Answer: multiple choice?
Step-by-step explanation:
Answer:
D. 32, 8, 256
Step-by-step explanation:
You want to get the same base numbers so you can add exponents
sqrt(2)^(4x+1) = 2^(2x+1/2)
16^x = 2^4x
4^(8x-6) = 2^(16x-12)
Now you can drop the bases and do the following equation
2x+1/2 + 4x = 16x-12
Solve for x, which is 1.25
Plug 1.25 back into the original numbers and you get the answers for the dimensions and area.
In Calculus - limits, there are several limits law, but the most common ones should be the following:
limx-->a [f(x) + g(x)] = L+M
limx-->a [f(x) - g(x)] = L-M
limx-->a f(x)/g(x) = L/M, if M does not equal to 0
Hope this helps!
