Question

Which of the following is the equation for the graph shown?

Answer 1

The equation of an ellipse for the graph shown is $\frac{x^2}{5^2} + \frac{y^2}{21^2} = 1$

How to determine the equation?

Since the given coordinates of the vertices and foci have the form (-5, 0) and (5, 0) and (-2, 0) and (2, 0) respectively, this ultimately implies that the major axis of this ellipse is the x-axis.

Thus, the standard form of the equation of this ellipse is given by:

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

Next, we would solve for b² by using this equation:

b² = a² - c²

b² = 5² - 2²

b² = 25 - 4

b² = 21.

Substituting the parameters into the standard equation of an ellipse, we have;

$\frac{x^2}{5^2} + \frac{y^2}{21^2} = 1$

Read more on ellipse here: brainly.com/question/14468579

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