summer8892w
summer8892w summer8892w
  • 17-09-2020
  • Mathematics
contestada

write a function g whose graph represents a reflection in the x-axis of the graph of f(x)= -5x+2​

Respuesta :

joaobezerra joaobezerra
  • 17-09-2021

Using the reflection concept, the function is given by:

[tex]g(x) = 5x - 2[/tex]

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  • Reflecting a function f(x) over the x-axis is the same as exchanging it's signal, that is, [tex]g(x) = -f(x)[/tex]

The function given is:

[tex]f(x) = -5x + 2[/tex]

The reflection over the x-axis is:

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

[tex]g(x) = -(-5x + 2)[/tex]

[tex]g(x) = 5x - 2[/tex]

Which is the desired function g.

A similar problem is given at https://brainly.com/question/15196246

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