Question

Use the image to answer the question. The function graphed with a blue dotted line is translated to the function graphed as a solid orange line. If the same translation were applied to the solid orange function, what would be the coordinates of the new y-intercept (not pictured)? (1 point) The new y-intercept would be (,).

Answer 1

To answer your question accurately, I would need access to the image you're referring to, which I currently don't have. However, I can guide you through how to find the new y-intercept if you have the details of the translation.

1. Determine the Translation: Identify how the blue dotted line was translated to become the solid orange line. This usually involves vertical shifts (up or down) and horizontal shifts (left or right). For example, if the function moved \( k \) units up, that means a translation of +k on the y-values.

2. Apply the Same Translation: Once you understand the translation, apply the same transformation to the coordinates of the solid orange function's y-intercept.

3. Calculate the New Y-Intercept: If the original y-intercept of the solid orange function is \((0, b)\) and the translation involves a vertical shift of \( k \), the new y-intercept after applying the same translation would be at \((0, b + k)\).

If you can provide the specifics of the translation or the original function, I can help you compute the new coordinates directly!