11.3 Ellipses

Oval curves with two axes, graphed from standard form at the origin or shifted to (h, k), and used for orbits and elliptical rooms.

Intermediate Algebra 2e, 11.3 Ellipses

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4 exercises

11.3 Exercise 2

Complete the square: $x^{2} - 8 x = 8 .$
If you missed this problem, review the reference.

2.5

11.3 Exercise 3

Write in standard form. $y = 2 x^{2} - 12 x + 14$
If you missed this problem, review the reference.

2.5

11.3 Exercise 69

In your own words, define an ellipse and write the equation of an ellipse centered at the origin in standard form. Draw a sketch of the ellipse labeling the center, vertices and major and minor axes.

2.5

11.3 Exercise 71

Compare and contrast the graphs of the equations $\frac{x^{2}}{4} + \frac{y^{2}}{9} = 1$ and $\frac{x^{2}}{9} + \frac{y^{2}}{4} = 1 .$

2.5