Question

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

Answer 1

Step 1

Write out the functions

$\begin{gathered} f(x)=x^2 \\ \\ g(x)=(x-9)^2\text{ + 3} \end{gathered}$

Function f(x) was transform to function g(x) by:

Shift f(x) up by 3 units and to the left by 9 units.

Final answer

To get the function g. Shift f up by 3 units and to the left by 9 units.