Question

Number 8 I need help really bad

Answer 1

Answer:

See below.

Step-by-step explanation:

So we have the parent function:

$f(x)=x^2$

And it was transformed into:

$g(x)=(3x)^2+6$

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:

$f(x)=x^2$

If we use 3x for x:

$f(3x)=(3x)^2$

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