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If the graph #y=x^3 + 5# is reflected in the x axis what is the new equation?

Answer 1

Benjamin Achtenberg

#y=-x^3-5#

the points reflected in the x axis have opposite y-coordinates, or

x'=x and y'=-y

so the new equation is

#-y=x^3+5#

that's

#y=-x^3-5#

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Answer 2

Christian Antunez

#y=-x^3-5#

When an equation is reflected in the X-axis the value of #y# is replaced with the negative of that in the original equation.

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Answer 3

Madelyn Anderson

If the graph ( y = x^3 + 5 ) is reflected in the x-axis, the new equation will have the same function as the original, but with the sign of the y-values reversed.

So, the new equation after reflecting in the x-axis is ( y = -x^3 - 5 ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.