Hello unstopabl3OK. Here's how you do #1.

First, when the graph of is changed into , all the -values are multiplied by . In other words, the graph isstretchedup and down by a factor of , from the -axis. Instead of taking values from to , therefore, it will take values from to .

Next, when is changed into , all the -values have their sign changed. In other words, the graph isreflectedin the -axis. So, for example, when instead of .

Finally, changing into adds to all the -values. In other words, the graph isshifted(translated) upwards by units.

So:

- Can you sketch the graph for #1 now?

.- Can you do #2 in the same way?

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I assume that for #3 you mean

Clearly, this is related to the graph of

which you can sketch using the same techniques as above. Then, you need to learn that when is changed into , the graph is translated units to the

left.

Yes, it is to the left, not the right, because when , the value of is . So the new graphstartsat the point where on the original graph. So it is exactly the same as the original, but it's units to the left. (You may need to think a bit about that!)

Can you complete #3 now?

Grandad