Answer:
The corresponding definite integral may be written as

The answer of the above definite integral is

Step-by-step explanation:
The given limit interval is

![[a, b] = [-8, 6]](https://tex.z-dn.net/?f=%5Ba%2C%20b%5D%20%3D%20%20%5B-8%2C%206%5D)
The corresponding definite integral may be written as


Bonus:
The definite integral may be solved as

Therefore, the answer to the integral is

Answer:
left 1 unit, up 5 units
Step-by-step explanation:
First factor
g(x)=x^2+2x+6 = (x+1)^2+5
The standard transformation formula is
g(x) = a*f(bx-h) + k
which means
a=1, b=1,h=-1, k=5
or
h=-1 means translate left one unit
k=5 means translate up 5 units.
Choose the first option: left 1 unit, up 5 units
In order to find what one part is in a ratio, you have to add the ratio up ( 5+ 3) and divide it by the number you're looking for (56). In this case, you get 56/8, which gives you 7. Therefore, each part is worth 7. You then have to multiply both sides of the ratio (5 and 3) by 7. 5x7= 35. 3x7= 21.
Therefore, 56 divided into the ratio of 5:3 is 35:21
28 ÷ 7 =4
Your correct answer is 3/4.
If you have questions, ask me.
Glad I could help, and good luck!
AnonymousGiantsFan