Answer
Y 4, 5.41, 6
_________
X 0, 1, 2
Step-by-step explanation:
math
Y=9.25 (short answer but hope this helped u)
Answer:
![g(x) =1(x + 7)^2 + 0](https://tex.z-dn.net/?f=g%28x%29%20%3D1%28x%20%2B%207%29%5E2%20%2B%200)
Step-by-step explanation:
Given
![f(x) = x^2](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E2)
Required
Determine g(x) where g(x) is a translation of f(x), 7 units to the right
When a point is translated to the right, the resulting point is:
![x -> x + b](https://tex.z-dn.net/?f=x%20-%3E%20x%20%2B%20b)
Where b is the number of units to the right.
In this case:
![b = 7](https://tex.z-dn.net/?f=b%20%3D%207)
So, we have:
![g(x) = f(x +7)](https://tex.z-dn.net/?f=g%28x%29%20%3D%20f%28x%20%2B7%29)
Solving f(x+7)
Substitute x + 7 for x in ![f(x) = x^2](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E2)
![f(x + 7) = (x+7)^2](https://tex.z-dn.net/?f=f%28x%20%2B%207%29%20%3D%20%28x%2B7%29%5E2)
So, we have:
![g(x) = (x+7)^2](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%28x%2B7%29%5E2)
To write in the form of
, we have:
![g(x) =1(x + 7)^2 + 0](https://tex.z-dn.net/?f=g%28x%29%20%3D1%28x%20%2B%207%29%5E2%20%2B%200)