Answer:
(x -4)^2 +1
Step-by-step explanation:
For some f(x), a translation to the right by "h" and up by "k" transforms it to ...
g(x) = f(x -h) +k
You want your G(x) to be a translation 4 units right and 1 unit up from F(x), so you have ...
G(x) = F(x -4) +1
G(x) = (x -4)^2 +1
Answer:
4 gallons of water.
Step-by-step explanation:
1. There is 1 gallon of 10% solution
2. There is 2% saline in water
3. The equation is 10% of 1 gallon = 2% of solution of x gallons of water + saline
0.1 = 0.02(x + 1)
Subtracting 0.02 from both sides, we get
0.1 -0.02= 0.02x +0.02 -0.02
0.08 = 0.02x
Dividing both sides by 0.02, we get
0.08/0.02 = 0.02x/0.02
x = 4.
4. The answer is 4 gallons of water.
Hope you will understand the concept.
Thank you.
c=2πr
=2*3.14*12
=75.36 m
it's circumference is 75.36 m
Initial:

Changed to:

As you can see the change is: from -1 to +6.
In a equation as follow:

The k is a transformation that moves up or down the graph of the function. If k is changed to a less value the graph moves down, If k is changed to a greather number the graph moves up.
In this case the graph moves up
To find the number of units the graph moves find the difference betwwen values of k:

Then, the parabola y=x²-1 is moved 7 units up when it is changed to y=x²+6