We have been given a graph of function g(x) which is a transformation of the function 
Now we have to find the equation of g(x)
Usually transformation involves shifting or stretching so we can use the graph to identify the transformation.
First you should check the graph of
You will notice that it is always above x-axis (equation is x=0). Because x-axis acts as horizontal asymptote.
Now the given graph has asymptote at x=-2
which is just 2 unit down from the original asymptote x=0
so that means we need shift f(x), 2 unit down hence we get:
but that will disturb the y-intercept (0,1)
if we multiply 
by 3 again then the y-intercept will remain (0,1)
Hence final equation for g(x) will be:
2.125*10^4 x 10^4 / 1.25 x 10^3
= (2.125 / 1.25) x 10^(4 - 3)
= 1.7 x 10^1
= 17
Answer
17 times greater
Answer:
Step-by-step explanation:
Hey there!
Standard form is what this equation is in
Standard form is this: 
So order to complete the square, you need to take the 
term out of the equation, divide it by two, and then square it
In this case, the term is 8
We need to divide 8 by 2 ---> 4
Then square 4 ---> 16
So now you should add 16 to both sides
Now you can simplify the LHS
Now you subtract 16 from both sides
So this is as far as you can go since you cannot take the square root of a negative number
Step-by-step explanation:
The systems of linear equations can have:
1. No solution: When the lines have the same slope but different y-intercept. This means that the lines are parallel and never intersect, therefore, the system of equations has no solution.
2. One solution: When the lines have different slopes and intersect at one point in the plane. The point of intersection will be the solution of the system
3. Infinitely many solutions: When the lines have the same slope and the y-intercepts are equal. This means that the equations represents the same line and there are infinite number of solution.
Therefore, based on the explained above, the conclusion is: Systems of equations with different slopes and different y-intercepts never have more than one solution.
Answer:
Its just 1.
Step-by-step explanation:
anything to the power of 0 is 1 simple
