Given:
The two functions are:


To find:
The type of transformation from f(x) to g(x) in the problem above and including its distance moved.
Solution:
The transformation is defined as
.... (i)
Where, a is horizontal shift and b is vertical shift.
- If a>0, then the graph shifts a units left.
- If a<0, then the graph shifts a units right.
- If b>0, then the graph shifts b units up.
- If b<0, then the graph shifts b units down.
We have,


The function g(x) can be written as
...(ii)
On comparing (i) and (ii), we get

Therefore, the type of transformation is translation and the graph of f(x) shifts 2 units up to get the graph of g(x).
Answer:
x = 6
Step-by-step explanation:
cross-multiply:
10(56) = 35(10+x)
560 = 350+35x
210 = 35x
x = 6
Answer: 80%
Explanation:
From the provided graph, read the Relative Cumulative Frequency as 0.8 (or 80%) which corresponds to a GPA of 3.5.
This number represents all GPAs lower than 3.5.
Answer:
x=0
y=3
Step-by-step explanation:
2(x+3)=2x+6, substituting the first equation in the second
2x+6=2x+6, rearranging the equations
2x-2x=6-6
0=0
y=0+3
y=3