chaudhrym8275
chaudhrym8275 chaudhrym8275
  • 10-10-2021
  • Mathematics
contestada

Let the graph of g be a translation 4 units down followed by a reflection about the y-axis of the graph of f(x)=−3x +2
Write a rule for g.

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theleangreenbean
theleangreenbean theleangreenbean
  • 10-10-2021

Answer:

[tex]g(x)=f(-x)-4[/tex]

Step-by-step explanation:

Hi there!

We're given that [tex]f(x)=-3x +2[/tex].

g(x) is f(x) translated 4 units down. Subtract 4 from f(x):

[tex]g(x)=f(x)-4[/tex]

It is also reflected about the y-axis. This makes all values of x negative:

[tex]g(x)=f(-x)-4[/tex]

I hope this helps!

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