Graph the ellipse.
𝑥ଶ
4 + 𝑦ଶ
49 = 1


Here is the graph of the ellipse represented by the equation:

\[
\frac{x^2}{4} + \frac{y^2}{49} = 1
\]

### Summary of Key Features:
- **Center**: (0, 0)
- **Major Axis** (along the y-axis): Length = 14
- **Minor Axis** (along the x-axis): Length = 4

Let me know if you need more details or explanations!

Here are some related questions for deeper understanding:
1. How do you determine whether the major axis is along the x-axis or y-axis?
2. What is the relationship between the lengths of the axes and the equation?
3. How would the graph change if \(a^2\) and \(b^2\) were swapped?
4. How do you calculate the foci of an ellipse?
5. How does an ellipse differ from a circle mathematically?

**Tip:** In ellipses, the larger denominator corresponds to the major axis.

Learn how to graph the ellipse represented by the equation x^2/4 + y^2/49 = 1. This problem covers key geometry concepts, including the center, major and minor axes, and the relationship between the equation and the ellipse. Suitable for high school students in Grades 10-12.

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