Answer:
The answer is None there is no mode for the question.
Step-by-step explanation:
We know this because a mode is the number that occurs the most and because all the numbers occur the same amount there is no mode.
Answer: y=2/3x-5
Explanation: The first thing I do is look for the y-intercept which is where the line goes through the y-axis, for this equation it's -5; then the slope the point goes up one and goes right 1.5, then put it into whole numbers so I'll times them by 2 so the slope is 2/3
With those you can put it into slope-intercept form: y=2/3x-5
Given:
The given functions are:


To find:
The transformations performed of f(x) to create g(x).
Solution:
The translation is defined as
.... (i)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
We have,


Using these two function, we get
...(ii)
On comparing (i) and (ii), we get

It means the graph of f(x) is vertically stretched with a scale factor of 3, shifts 5 units left and 2 units down to get g(x).
Therefore, the correct options are A and C.
The sequence is 4, 5, 6, 7, 8, ..... The pattern is: Each term is (the term before it) plus (1).
2(-3) = -6, is the answer