## anonymous one year ago If the parent function f(x) = (2x – 3)³ is transformed to g(x) = (-2x + 3)³, which type of transformation occurs?

1. geerky42

Looks like f(x) was multiplied by -1 to get to g(x).

2. geerky42

$$(2x-3)^3 \quad\Longrightarrow\quad-(2x-3)^3\\~\\\phantom{(2x-3)^3 \quad\Longrightarrow~}=(-1)^3(2x-3)^3\\~\\\phantom{(2x-3)^3 \quad\Longrightarrow~}=[(-1)(2x-3)]^3\\~\\\phantom{(2x-3)^3 \quad\Longrightarrow~}=(-2x+3)^3$$

3. anonymous

i just need to know vertical shift/refection or horizontal shift/reflection

4. welshfella

this is a reflection in which axis do you think?

5. anonymous

I think I would graph it.