Question
image shows a vertical line starting at -5 and then shifts to 0
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 6 units to the left. The parent function was translated 6 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 5 units to the left. The parent function was translated 5 units to the left. The parent function was translated 5 units to the right.
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 6 units to the left. The parent function was translated 6 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 5 units to the left. The parent function was translated 5 units to the left. The parent function was translated 5 units to the right.
Answers
GPT-4o mini
To determine how many units the parent function \( y = x^2 \) was translated based on the information provided, we can focus on the vertical line that starts at -5 and shifts to 0.
- If the vertical line is originally at \( x = -5 \) and then moves to \( x = 0 \), it means that the point has moved from -5 to 0 along the x-axis.
To calculate the distance:
- The shift from -5 to 0 is a move to the right. The calculation for the distance is:
\[ 0 - (-5) = 0 + 5 = 5 \text{ units} \]
Therefore, the translation is 5 units to the right.
Among the responses provided, the correct answer is:
**The parent function was translated 5 units to the right.**
- If the vertical line is originally at \( x = -5 \) and then moves to \( x = 0 \), it means that the point has moved from -5 to 0 along the x-axis.
To calculate the distance:
- The shift from -5 to 0 is a move to the right. The calculation for the distance is:
\[ 0 - (-5) = 0 + 5 = 5 \text{ units} \]
Therefore, the translation is 5 units to the right.
Among the responses provided, the correct answer is:
**The parent function was translated 5 units to the right.**