Question

graph each equation.

1. \frac{x^2}{4} + \frac{y^2}{9} = 1

Explanation:

Identify the standard form parameters

Using the Standard Form of Ellipse knowledge point

$$
LATEXBLOCK0
$$

Determine key graphing points

Using the Graphing Ellipses knowledge point

$$
LATEXBLOCK1
$$

Answer:

To graph the ellipse \(\frac{x^2}{4} + \frac{y^2}{9} = 1\), plot the following key points on the coordinate plane and connect them with a smooth curve:

• Center: \((0, 0)\)
• Vertices along the x-axis: \((2, 0)\) and \((-2, 0)\)
• Vertices along the y-axis: \((0, 3)\) and \((0, -3)\)