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5. Let the graph of g be a translation 2 units up and 2 units right, followed by a reflection in the x-axis of the graph off(x) = -(x+3)^2 - 2. Write a rule for g.

Respuesta :

Answer:

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

Explanation:

Given the function f(x)

A translation of 2 units up = f(x)+2

Next, a translation of 2 units right = f(x-2)+2

When we reflect the result above in the x-axis, we have:

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

A rule for g is therefore:

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

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