Use the images to answer the question.

Question

Original function:

A V shaped function with arrows at both ends passes through 7 plotted points. The x-axis ranges from negative 9 to 9 in unit increments and the y-axis ranges from negative 11 to 11 in unit increments.

Translated function:

A V shaped function with arrows at both ends passes through 7 plotted points. The x-axis ranges from negative 9 to 9 in unit increments and the y-axis ranges from negative 11 to 11 in unit increments.

How far has the original function shifted horizontally?

(1 point)
units
Remaining Attempts : 3
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Answer 1

To determine how far the original function has shifted horizontally, we would need to compare the two V-shaped functions' positions. Since I don't have access to the images, I cannot directly see how the original function and the translated function differ.

However, you can find the horizontal shift by checking the x-coordinates of the points where both functions intersect the x-axis.

1. Identify the vertex or the point where the original function meets its minimum value (the point at the bottom of the V).
2. Do the same for the translated function.
3. Subtract the x-coordinate of the original function's vertex from the x-coordinate of the translated function's vertex.
4. The result will give you the horizontal shift.

If the translated function's vertex is to the right of the original function's vertex, the shift is positive. If it is to the left, the shift is negative.

Please let me know if you can provide the specific coordinates or more details, and I will help you calculate the horizontal shift!

Answer 2

please answer

Answer 3

Without the specific images and coordinates, I can’t provide an exact numeric answer. However, here’s how you can find the horizontal shift:

1. Determine the vertex of the original function. The vertex is typically at the x-coordinate that corresponds to the minimum point of the V shape.

2. Determine the vertex of the translated function.

3. Calculate the horizontal shift by subtracting the x-coordinate of the original vertex from the x-coordinate of the translated vertex:

   \[ \text{Horizontal Shift} = x_{\text{translated}} - x_{\text{original}} \]

Example:

• If the original vertex is at x = -2 and the translated vertex is at x = 2, the shift would be:

  \[ \text{Horizontal Shift} = 2 - (-2) = 4 \text{ units (to the right)} \]

If the translated function’s vertex is at a lower x-coordinate, the shift would be negative.

If you can provide the specific locations of the vertices or points the functions pass through, I'll gladly help calculate the exact shift!