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Which rule should be applied to reflect f(x) = x3 over the y-axis?A.Multiply f(y) by -1.B.Switch the variables x and y in the equationC.Multiply f(x) by -1.D.Substitute -x for x and simplify f(-x)SUBMITarrow_backPREVIOUS

Question

Which rule should be applied to reflect f(x) = x3 over the y-axis?A.Multiply f(y) by -1.B.Switch the variables x and y in the equationC.Multiply f(x) by -1.D.Substitute -x for x and simplify f(-x)SUBMITarrow_backPREVIOUS

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Solution

The rule that should be applied to reflect f(x) = x^3 over the y-axis is D. Substitute -x for x and simplify f(-x). This is because when you reflect a function over the y-axis, you're essentially changing the direction of the x-values, hence replacing x with -x.

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f(x)=x2𝑓(𝑥)=𝑥2 → shifted 3 units right and reflected across y-axis               Question 12Select one:a.f(x)=(−x−3)2𝑓(𝑥)=(−𝑥−3)2b.f(x)=−(−x+3)2𝑓(𝑥)=−(−𝑥+3)2c.f(x)=(x−3)2𝑓(𝑥)=(𝑥−3)2d.f(x)=(−x+3)2

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