To determine the new y-intercept after applying the same translation again to the solid orange function, we need to first identify the translation that occurred from the blue dotted line to the solid orange line.
Let's assume the translation that occurred can be described as moving the graph vertically and/or horizontally. For instance, if the translation was upward by 2 units and right by 1 unit, the new y-intercept would be calculated accordingly.
- Identify the original y-intercept of the blue dotted line. Let's call this point (0, b), where 'b' is the y-coordinate where the parabola intersects the y-axis.
- Apply the translation to this point to find the y-intercept of the orange line, resulting in a new point which is the new y-intercept of the orange function, let's denote this as (0, b + translation_y).
- Now, apply the same translation to the y-intercept of the orange function. This requires adding the same translation value again to the new y-intercept.
For example, if we assumed that the translation was an upward shift of 2 units, then from step 2, the y-intercept of the orange function would be (0, b + 2). Applying the same translation again yields a new y-intercept of (0, b + 2 + 2) = (0, b + 4).
Without the specific translation values from the image, I cannot provide exact coordinates, but based on this methodology, you can follow these steps once you know the initial coordinates and the translation applied to find the new y-intercept.
If you share the specific translation details or the original coordinates, I can provide a precise answer.
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