Which statement is true? a. the graph of y=log (x-4)is the graph of y=log(x) translated 4 units down. b. the graph of y=log(x)-4 is the graph of y=log(x) translated 4 units left. c. the graph of y=log (x)+4 is the graph of y=log (x) translated 4 units up. d. the graph of y=log(x+4) is the graph of y=log(x) translated 4 units right

I’m not sure is D , I’m clueless

Answer with explanation:

Drawing the graph of , y= log x

Domain of log x is all x ≥ 0.

So, y will be always Positive.

⇒Considering the graph of

  y= log x-4

When x=1, y= -4

The graph of log x-4 is shifted 4 units down.

⇒And, Considering the graph of

  y= log x+4

When x=1, y= 4

The graph of log x+4 is shifted 4 units up.

Option C: ⇒The graph of y=log (x)+4 is the graph of y=log (x) translated 4 units up.

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.