Answer:
The equation in vertex form is:

Step-by-step explanation:
Recall that the formula of a parabola with vertex at
is given by the equation in vertex form:

where the parameter
can be specified by an extra information on any other point apart from the vertex, that parabola goes through.
In our case, since the vertex must be the point (2, 1), the vertex form of the parabola becomes:

we have the information on the extra point (0, 5) where the parabola crosses the y-axis. Then, we use it to find the missing parameter
:

The, the final form of the parabola's equation in vertex form is:

Answer:
-1
Step-by-step explanation:
Use Rise/Run and since the line is negative the slope will be negative
Answer:
The function g(x) is
+ 4 and this is Translation Transformation .
Step-by-step explanation:
Given as :
The two functions f(x) and g(x) is as given
Function f(x) = 
And g(x) = f(3 x) + 4
Now, for x = 3 x
The function f(x) can be written as
f(3 x) = 
So, g(x) =
+ 4
<u>While plotting the function f(x) and g(x) on the graph , the points translate from one to other quadrant , so this is a type of TRANSLATION TRANSFORMATION . </u>
Hence The function g(x) is
+ 4 and this is Translation Transformation . Answer
1)1,2,3,4,5,6
2)1/2
3)1/2
4)1/3
5)5 OR LESS THAN FIVE =1/6
ONLY LESS THAN FIVE (EXCLUDING FIVE)=4/6=2/3