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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)

If You Apply The Changes Below To The Cubic Parent Function Fx X What Isthe Equation Of The New Function Reflect Across The Xaxis Vertically Compress By Multipl class=

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ANSWER:

[tex]J(x)=-\frac{1}{2}x^3[/tex]

STEP-BY-STEP EXPLANATION:

We have the original function:

[tex]F(x)=x^3[/tex]

Reflect across the x-axis (transformation):

[tex]y=f(x)\rightarrow y=-f(x)[/tex]

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

[tex]\begin{gathered} y=f(x)\rightarrow y=a\cdot f(x) \\ 0<|a|<1 \end{gathered}[/tex]

Therefore, the new function would be:

[tex]F(x)=x^3\rightarrow J(x)=-\frac{1}{2}x^3[/tex]

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