Question

If you apply the changes below to the cubic parent function, Fx) = x?, what isthe equation of the new function?• Reflect across the x-axis.• Vertically compress by multiplying by z(O A H(x)= (2+)(x= - xB. Jx)-OoC. K(x) = -2x?D. G(X) = (2x)

Answer 1

`J(x)=-(1)/(2)x^3`

Explanation:

We have the original function:

`F(x)=x^3`

Reflect across the x-axis (transformation):

`y=f(x)\rightarrow y=-f(x)`

Vertically compress by multiplying by 1/2 (transformation):

`\begin{gathered} y=f(x)\rightarrow y=a\cdot f(x) \\ 0<|a|<1 \end{gathered}`

Therefore, the new function would be:

`F(x)=x^3\rightarrow J(x)=-(1)/(2)x^3`