Answer:
(i)
shifted left side by 5 units
(ii)
vertically stretch by 3 units
(iii)
shifted vertically downward by 2 units
Step-by-step explanation:
we are given
[tex]y=\sqrt{9x+45} -2[/tex]
we can also write as
[tex]y=\sqrt{9(x+5)} -2[/tex]
we can factor out 9
[tex]y=3\sqrt{(x+5)} -2[/tex]
Firstly, we will identify parent function
[tex]y=\sqrt{x}[/tex]
step-1:
We can see that there is x+5 in place of x
so, f(x) will be shifted left side by 5 units
step-2:
3 is multiplied to sqrt
so, it is vertically stretch by 3 units
step-3:
-2 is added to y-value
so, it is shifted vertically downward by 2 units
Graph:
