Answer:
D. g(x) = (x - 4)²
Step-by-step explanation:
This function is being translated 4 units in the positive x direction. When translating conic sections like the parabola shown, you add an extra part to the equation:
If you want to move the function-
Up: Change f(x) to y. the new left side of the equation will be
(y - [however many units it needs to be translated]) = ...
Down: Change f(x) to y. The new left side of the equation will be
(y + [however many units it needs to be translated]) = ...
Left: Change x to (x + [however many units it needs to be translated]).
Right: Change x to (x - [however many units it needs to be translated]).
In this case, the translation is to the right 4 units. So, use the above information to change the function to g(x) = (x - 4)².
Important notes:
• Remember to keep the exponent outside of the parentheses.
• This only applies to conic sections. Using this as reference to polynomial functions over 2 will not work.
