STAYxALIVE5765 STAYxALIVE5765
  • 10-06-2021
  • Mathematics
contestada

I have this math problem and it is: an equation in function from that reflects f(x)=3x over the line y=0.

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MrRoyal
MrRoyal MrRoyal
  • 10-06-2021

Answer:

[tex]g(x) = -3x[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 3x[/tex]

Required

Reflect over [tex]y = 0[/tex]

This means that we reflect over the x-axis

And the rule of reflection is:

[tex](x,y) \to (x,-y)[/tex]

Hence:

[tex]f(x) = 3x[/tex]

Will become:

[tex]g(x) = -f(x)[/tex]

So, we have:

[tex]g(x) = -3x[/tex]

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