Now, I have answered this question and it seems very simple. But the answer they give is different to mine, and i graphed to check, and it seems I am correct, but I want you guys to tell me what you think. Part

**c)** is what I'm concerned with.

a) The graph of g is obtained from the graph of the function f with rule

by a translation by +3 units parallel to the x-axis. Write down the rule for g.

Now, i wrote

which is correct.

b) The graph of h is obtained from the graph of g by a translation by −1 unit parallel to the y-axis. Write down the rule for h.

I wrote

c) The graph of k is obtained from the graph of h by a dilation by a scale factor of 0.5 from the y-axis. Write down the rule for k.

I wrote

, but they say:

. Now, how can that be correct since their version changes the turning point completely? It's basically a totally different graph, isn't it?

So tell me what you think.