guerranidia99 guerranidia99
  • 17-03-2020
  • Mathematics
contestada


Which transformations are needed to transform the graph of y = f(x) to g(x) = -f(x - 1) + 3

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danielmaduroh
danielmaduroh danielmaduroh
  • 25-03-2020

Explanation:

Lets's solve this step by step. Here we have a function:

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

So:

Step 1. Reflection across the x-axis:

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

Step 2. Shifting 1 unit to the right

[tex]y=-f(x-1)[/tex]

Step 3. Shifting 3 unit up

[tex]y=-f(x-1)+3[/tex]

Finally:

[tex]g(x)=-f(x-1)+3[/tex]

So the graph of f has been reflected across the x-axis, shifted 1 unit to the right and 3 units up to become the graph of g.

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