https://file.aiquickdraw.com/mathbot/file/1727394280765c3rxk4iz.jpg

The ellipse shown in the image is vertically oriented, meaning the major axis is along the y-axis, while the minor axis is along the x-axis.

In standard form, the equation of an ellipse is:

\[
\frac{x^2}{b^2} + \frac{y^2}{a^2} = 1
\]

where \( a \) is the semi-major axis, and \( b \) is the semi-minor axis.

From the graph:
- The ellipse extends from \( y = -10 \) to \( y = 10 \), so the total length of the major axis is 20. Therefore, the semi-major axis \( a = 10 \).
- The ellipse extends from \( x = -2 \) to \( x = 2 \), so the total length of the minor axis is 4. Therefore, the semi-minor axis \( b = 2 \).

The length of the minor axis is twice the value of \( b \), which is:

\[
\text{Minor Axis Length} = 2 \times 2 = 4
\]

Thus, the correct answer is **4**.

Would you like further details or clarification? Here are 5 related questions to explore this concept further:

1. How do you determine whether an ellipse is vertically or horizontally oriented?
2. What is the formula for the eccentricity of an ellipse?
3. How would you calculate the area of the ellipse shown in the graph?
4. Can you derive the equation of the ellipse using its dimensions from the graph?
5. What are the differences between ellipses and circles in terms of their geometric properties?

**Tip:** The major and minor axes help identify key properties of an ellipse, including its shape and orientation.

What is the length of the minor axis of the ellipse below?

Learn how to determine the length of the minor axis of an ellipse based on its graph. This problem involves interpreting the graph of a vertically oriented ellipse and applying the standard form equation of an ellipse.

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