Answer:
See below.
Step-by-step explanation:
So we have the parent function:
[tex]f(x)=x^2[/tex]
And it was transformed into:
[tex]g(x)=(3x)^2+6[/tex]
First, the +6 at the very end simply tells us that the graph was shifted upwards by 6 units.
For the (3x), this is essentially saying that:
[tex]f(x)=x^2[/tex]
If we use 3x for x:
[tex]f(3x)=(3x)^2[/tex]
Therefore, we essentially multiplied the x variable by 3.
In other words, this is a horizontal compression by a factor of 3.
So, our transformations are:
1) 6 units upwards
2) Horizontal compression by 3
