Question

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.

Answer 1

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

Step-by-step explanation:

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

`f_1(x)=x^2+3`

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

`g(x)=(x-9)^2+3`

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