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

Question

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

geerky42 · Answer

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

geerky42 · Answer

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

anonymous · Answer

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

welshfella · Answer

this is a reflection  in which axis do you think?

anonymous · Answer

I think I would graph it.