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Okay Shmoop math people Here we go A graft coming

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at you The graph of y equals negative X plus

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five is reflected across the x axis Which of the

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following shows the reflected graph Okay do we need to

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get out our handy dandy pocket mirror for this problem

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We advise against it since to see the reflection from

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the right angle you'd probably have to smash your face

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up against your desk Instead let's consider what rules we

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know about transform ations But when we reflect a point

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across the x axis we multiply the original y coordinate

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by negative one Find a new why co ordinate while

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the x coordinate remains unchanged In other words the rule

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to remember about reflecting across the x axis is that

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the point x why would be transformed into the point

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x negative y very important concept here were given a

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line and an equation for that line No why calls

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they could expose five rather than a set of points

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However we can imagine that line is having many different

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points on it in reflecting those many different points across

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the x axis We know that for each point will

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retain the same x values but corresponding why values should

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be multiplied by negative one Right So our new equation

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then will demonstrate those new negative y values right there

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multiplied by negative one So we get negative y equals

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negative x plus five Well to graft this equation no

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we just put it into slope intercept form y equals

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mx plus b That means we'll need to multiply both

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sides by negative one so we can isolate that Why

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there And we get y equals negative The quantity there

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of negative exposed five or y equals x minus five

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So the reflected graph corresponds to the equation Y equals 00:01:40.281 --> [endTime] x minus five and that's pretty much it

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