Hope this helps I tried to put the arrows where the answer goes
1/60 ._. subscribe yolo<span />
For translations like this use the formula:
f(x) = (x - h)² + k
where h is the lateral movement/shifts on the x-axis and k is the vertical movement/shifts on the y-axis.
Since g(x) is a movement to the right 4 units and up 9 units, your h is a positive 4 and k is a 9:
g(x) = (x - 4)² + 9Here's a picture of your original graph f(x) and your translation g(x)
Idk but I have to help so 287464
Answer:
It represents growth, and the percentage rate of increase is of 8%
Step-by-step explanation:
Exponential equation:
An exponential equation has the following format:
![A(t) = A(0)(1 + r)^t](https://tex.z-dn.net/?f=A%28t%29%20%3D%20A%280%29%281%20%2B%20r%29%5Et)
In which A(0) is the initial amount and r is the rate of change, as a decimal. If positive, it is growth, if negative, it is decay.
In this question:
![y = 21(1.08)^x](https://tex.z-dn.net/?f=y%20%3D%2021%281.08%29%5Ex)
So
![1 + r = 1.08](https://tex.z-dn.net/?f=1%20%2B%20r%20%3D%201.08)
![r = 0.08](https://tex.z-dn.net/?f=r%20%3D%200.08)
Since r is positive, it represents growth, and the percentage rate of increase is of 0.08*100% = 8%