00:01
So here we have some polynomial functions and we are given some transformations that we need to do on these polynomials p of x.
00:08
So in the first question, t of x is 0 .5 times p of negative x.
00:15
So this a value of 0 .5, since it is less than 1 and greater than 0, it's between 0 and 1, it's a vertical compression.
00:26
So that is going to shrink vertically.
00:33
So vertical compression or a vertical shrink.
00:37
It's going to go towards the x -axis.
00:40
The negative x inside the parentheses is going to be a horizontal reflection.
00:46
If it was outside the parentheses in front of the 0 .5, we would have vertical reflection.
00:52
But because it's inside the parentheses with the x, it's a horizontal reflection about.
00:58
The y axis so when we write our new equation t of x we want to multiply the 0 .5 times negative x but still raise it to the fifth power let's look at b we have x to the fourth power for our p of x and t of x is two times p of x plus three so here we have a vertical stretch by a factor of two we are also translated to the left.
01:39
So this is a horizontal translation because it's inside the parentheses with the x, and this is left three units...