Use the image to answer the question.

Question

Two parabolas are graphed on a coordinate plane. The x-axis ranges from negative 3 to 3 in increments of 1. The y-axis ranges from negative 5 to 5 in increments of 1.

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 (
,
).
Remaining Attempts : 3
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Answer 1

To determine the new y-intercept after applying the same translation to the solid orange function, we need to first identify the translation made from the blue dotted line to the solid orange line.

Assuming the translation is vertical (up or down) or horizontal (left or right), we would need the coordinates of the original y-intercept of the blue dotted function. Here’s how we can generally approach solving the problem:

1. Find the y-intercept of the orange function: Let’s say the y-intercept of the orange function (solid line) is at (0, b).

2. Identify the translation: Suppose the translation from the blue function to the orange function is vertical by c units (up means +c, down means -c).

3. Calculate the new y-intercept: If the same translation is applied to the orange function, the new y-intercept would be:

   • New y-intercept = (0, b + c)

4. Put it all together: Depending on the values you found, you will replace b and c with the appropriate numbers.

Without the actual values or visual representation, I cannot provide the exact new y-intercept. If you can provide any specific information about the translations or coordinates, I would be happy to assist you in calculating the new y-intercept.