Question

CAN SOMEONE HELP ME PLEASE?!?

Answer 1

Transformations question!

Answer 2

Change the formula by dividing by 2:

\(y=\frac{1}{2}f(3x-6)-1\).

Now, to draw the graph:

1. pick a number x, say x=0.
2. Calculate 3x-6, so that is -6 in this case.
3. Look up f(-6) in the given graph. It is 2.
4. Multiply with ½ and then subtract 1. Result: 0

You now have found that (0, 0) is on the graph. Plot it.

Return to step 1, taking another number for x.

Answer 3

You could also do it a little more sophisticated:

Take f(3x-6)=f(3(x-2)).
This means: move the graph of f 2 units to the right, then multiply with respect to the y-axis with 1/3 (distance of every point to the y-axis is divided by 3).

Then there is the factor ½. This means: multiply with respect to the x-axis with ½, so the distance to the x-axis of every point halves.

At last, move down the graph 1 unit.

I have attached a drawing with a graph for every step.
f is the original function, g, h and j are the intermediate steps, k (the red one) is the end result. Hope you understand what I did :)