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f(x) = x2 g(x) = (x – 9)2 + 3 We can think of g as a translated (shifted) version of f. Complete the description of the transformation. Use nonnegative numbers. g shift f To get the function up/down by units and to the right/left by units.

Respuesta :

Answer:

To get the function g, shift f up by 3 units and to the right by 9 units.

Explanation:

If we want to shift x^2 up by 3 units then we add 3 to it to get

[tex]f_1(x)=x^2+3[/tex]

Further, if we want to shift the function to the right by 9 units, then we subtract 9 from x. This gives

[tex]g(x)=(x-9)^2+3[/tex]

Hence, to get g(x), we shift f up by 3 units and then to the right by 9 units.

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