00:01
Hi, in this question, given function is f of x equal square root of x.
00:07
Let y equals f of x equals square root of x.
00:13
For part a, first we need to translate the given graph into horizontally shift the graph four units left so that we get y equals f of x plus 4.
00:35
We need to add 4 inside the function.
00:39
So we get square root of x plus 4.
00:42
Next we need to vertically compression by the factor of 1 by 3.
00:51
So we have to multiply 1 by 3 with the function.
00:56
So 1 by 3 into f of x plus 4 which is equal to 1 by 3 into square root of x plus 4.
01:06
So for part a, the required function is f of x equals 1 by 3 square root of x plus 4.
01:17
For part b, given function is y equals f of x equal square root of x.
01:24
First we need to translate vertically stretching by the factor of 4.
01:32
So that we get y equal 4 f of x, which is equal to 4 square root of x.
01:38
Root of x.
01:40
Next we need to vertically shift the three units upward...