Question

Is the ellipse represented by the equation Start Fraction left-parenthesis x minus 5 right-parenthesis squared over 3 End Fraction plus Start Fraction left-parenthesis y plus 1 right-parenthesis squared over 5 End Fraction equals 1 oriented horizontally or vertically? Explain how you know. in 2 short sentences

(4 points)

1 answer

The ellipse is oriented vertically because the denominator of the \(y\) term (5) is larger than that of the \(x\) term (3). In the standard form of the ellipse equation, when the \(y\) term has a larger denominator, it indicates a vertical orientation.