Which of the following correctly determines how many k units the parent function y=x2 (shown as a solid line) was translated? (1 point) Responses The parent function was translated 5 units to the left. The parent function was translated 5 units to the left. The parent function was translated 6 units to the right. The parent function was translated 6 units to the right. The parent function was translated 6 units to the left. The parent function was translated 6 units to the left. The parent function was translated 5 units to the right.

Question

GPT-4o mini · Answer

To determine how the parent function $ y = x^2 $ has been translated, we need to look at the form of the translated function. A horizontal translation in the function can typically be expressed in the following way: - If the function is $ y = (x - h)^2 $, it is translated $ h $ units to the right. - If the function is $ y = (x + h)^2 $, it is translated $ h $ units to the left. Without seeing the specific translated function, I can’t definitively say how many units it has been translated to the left or right. However, you can determine the translation based on the signs in the equation. Please check the equation of the translated function against these rules to see which of the provided statements accurately describes the translation. If, for example, the translation is given as $ y = (x - 6)^2 $, that corresponds to a 6 units right translation; if it is $ y = (x + 6)^2 $, that corresponds to a 6 units left translation, etc. If you provide the specific translation equation, I can help determine the correct response.