Question

Functions problem attached.
Q42(c)

Answer 1

@tkhunny

Answer 2

How?

Answer 3

And what about d part?

Answer 4

@tkhunny
Q43 part d.

Answer 5

(c) Only the y-coordinates are divided by 2.

Answer 6

What did you get for y = f(2x)?

Answer 7

If you times the function of this graph by a factor, you are effectively stretching by this factor. Can you see why it's only half as tall? but still the same width? You're only changing the y coordinate.

Part d is similar, except the - sign inside the bracket means you're reflecting the graph in the y axis. The 1/2 is the same as before, it's changing the y coordinates by a scale of 1/2. So you're mirroring part c in the y axis.