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Pearson Algebra 2 Common Core, 2011

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Pearson Algebra 2 Common Core, 2011 View details

Chapter Review

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Exercise 6 Page 664

Make a table of values, plot the obtained points, and connect them with a smooth curve.

Graph:

Conic Section: Ellipse centered at (0,0)
Lines of Symmetry: x-axis and y-axis
Domain: - 7 ≤ x ≤ 7
Range: - 11 ≤ y ≤ 11

Practice makes perfect

To graph the given equation, we will make a table of values.

x	x^2/49+y^2/121=1	y
- 7	( - 7)^2/49+y^2/121=1	0
- 5	( - 5)^2/49+y^2/121=1	≈ ± 7.7
0	0^2/49+y^2/121=1	± 11
5	5^2/49+y^2/121=1	≈ ± 7.7
7	7^2/49+y^2/121=1	0

We will now plot and connect the obtained points with a smooth curve.

Let's describe what we see in this graph.

The conic section is an ellipse centered at (0,0).
The ellipse has two lines of symmetry: the x-axis and the y-axis.
The domain is the set of real numbers x such that - 7 ≤ x ≤ 7.
The range is the set of real numbers y such that - 11 ≤ y ≤ 11.

Subchapter links

Exercises p.663-666