00:01
In this question, we have given the graph of fx, we want to find the formula for gx and hx, of which they are the transformation of fx.
00:10
So let's look at the order of transformation.
00:16
The order will be in abcd.
00:18
A is to be done first.
00:20
So for a, this is actually translation parallel to excesses by minus a units.
00:36
If a is positive, plus a would mean you are actually shifting a units to the left.
00:42
Or x -sacist is all the opposite.
00:45
The b over here that is scaling parallel to exercises by 1 over b units.
00:57
The c over here is scaling parallel to y -axis by c units.
01:07
For y -axis everything's logical.
01:11
And d this is translation parallel to y -axis by d.
01:24
So if this is positive, plus d means you shift up by d, minus d means shift down by d units.
01:32
So for the graph of g, you can see that from f to the g graph, there is a shifting in the xsys to the right by 1.
01:45
So that means that every x you see here, you're going to put x minus 1 because it's the opposite.
01:56
Now, there is no scaling in the excesses.
02:00
Next we look at scaling in the y axis.
02:03
You can see that the highest point on the f graph here, the y value is 1 .5 and the highest point here for the g graph is 4 .5...