Answer:
g(x) = (x + 2)^2 + 1
Step-by-step explanation:
From the graph/image that you have provided said translated shift of
f(x) -> g(x)
f(x) = x^2 , g(x) = a(x -h)^2 +k
h is shift right/left
k is shift up/down.
It appears that the shift is left 2 and up 1.
h = -2 and k = 1
g(x) = (x - (-2))^2 +1
g(x) = (x + 2)^2 + 1
The answer would be -2 because if you minus x from x^2 then that would be x then plus 2 equals 0 so the answer would be -2. Hope this helped! :)
The correct answer is 50
7.5×2 = 15
25×2 = 50
2.
(a) 200/4=x
(b) Yvonne is 50 because 50 times 4 is equal to 200
(c) Xavier is 43 because if you subtract 7 from 50 (which is Yvonne's age) you get 43
Answer:
![k = -0.1733](https://tex.z-dn.net/?f=k%20%3D%20-0.1733)
Step-by-step explanation:
The first step to solve this equation is placing everything with the exponential to one side of the equality, and everything without the exponential to the other side. So
![24e^{4k} = 12](https://tex.z-dn.net/?f=24e%5E%7B4k%7D%20%3D%2012)
![e^{4k} = \frac{12}{24}](https://tex.z-dn.net/?f=e%5E%7B4k%7D%20%3D%20%5Cfrac%7B12%7D%7B24%7D)
The ln is the interse operation to the exponential, so we apply the ln to both sides of the equality.
![\ln{e^{4k}} = \ln{\frac{12}{24}}](https://tex.z-dn.net/?f=%5Cln%7Be%5E%7B4k%7D%7D%20%3D%20%5Cln%7B%5Cfrac%7B12%7D%7B24%7D%7D)
![4k = -0.6931](https://tex.z-dn.net/?f=4k%20%3D%20-0.6931)
![k = -\frac{0.6931}{4}](https://tex.z-dn.net/?f=k%20%3D%20-%5Cfrac%7B0.6931%7D%7B4%7D)
![k = -0.1733](https://tex.z-dn.net/?f=k%20%3D%20-0.1733)