Answer:
There was a Horizontal translation left b units and then Vertical stretch or compression
Step-by-step explanation:
Given : ![g(x) = a f(x + b)](https://tex.z-dn.net/?f=g%28x%29%20%3D%20a%20f%28x%20%2B%20b%29)
We are supposed to show the transformation
Rule : f(x)→f(x+c)
Horizontal translation left c units
So, f(x+b) is the Horizontal translation left b units
Rule : f(x)→cf(x)
Vertical stretch or compression
So,![g(x) = a f(x + b)](https://tex.z-dn.net/?f=g%28x%29%20%3D%20a%20f%28x%20%2B%20b%29)
So, Initially there was a Horizontal translation left b units and then Vertical stretch or compression
Answer:
27.5 /100 are running for a cause
Step-by-step explanation:
We know that 220/800 are running for a cause
Divide the top and bottom by 8 to get the fraction out of 100
220 /8 =27.5
800/8 = 100
27.5 /100 are running for a cause
The slope is defined as
![m=\dfrac{\Delta y}{\Delta x}=\dfrac{6-2}{-4-x}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B%5CDelta%20y%7D%7B%5CDelta%20x%7D%3D%5Cdfrac%7B6-2%7D%7B-4-x%7D)
So, we have the follwing equation:
![\dfrac{6-2}{-4-x} = 3 \iff 4 = 3(-4-x) \\\iff 4=-12-3x \iff16=-3x \iff x = -\dfrac{16}{3}](https://tex.z-dn.net/?f=%5Cdfrac%7B6-2%7D%7B-4-x%7D%20%3D%203%20%5Ciff%204%20%3D%203%28-4-x%29%20%5C%5C%5Ciff%204%3D-12-3x%20%5Ciff16%3D-3x%20%5Ciff%20x%20%3D%20-%5Cdfrac%7B16%7D%7B3%7D)