Friday
September 19, 2014

Homework Help: algebra

Posted by Lee on Tuesday, February 19, 2013 at 9:57am.

Can someone check my answers on exploring conic sections?

1. Graph x2 + y2 = 9. What are its lines of symmetry?

Every line through the center is a line of symmetry.

The y-axis and the x-axis are lines of symmetry.( my choice)

Every line through the center is a line of symmetry.

The y-axis and the x-axis are lines of symmetry.


2. Graph x2 + 9y2 = 25. What are the domain and range?

Domain: 每3 ≒ x ≒ 3
Range: 每3 ≒ y ≒ 3

Domain: 每5 ≒ x ≒ 5
Range: 每5 ≒ y ≒ 5 (my choice)

Domain: 每5 ≒ x ≒ 5
Range: 每1.67 ≒ y ≒ 1.67

Domain: 每1.67 ≒ x ≒ 1.67
Range: 每5 ≒ y ≒ 5

3. Graph x2 每 y2 = 16. What are its lines of symmetry?

It has four lines of symmetry, the x-axis, the y-axis, y = x, and y = 每x.

Every line through the center is a line of symmetry.

It has four lines of symmetry, the x-axis, the y-axis, y = x, and y = 每x.

It has two lines of symmetry, the x-axis and the y-axis. ( my choice)

4. Identify the center and intercepts of the conic section. Then find the domain and range.

The center of the ellipse is (0, 0).
The x-intercepts are (0, 5) and (0, 每5).
The y-intercepts are (每3, 0) and (3, 0).
The domain is {x | 每3 ≒ x ≒ 3}.
The range is {y { 每5 ≒ y ≒ 5}.

The center of the ellipse is (0, 0).
The x-intercepts are (每3, 0) and (3, 0).
The y-intercepts are (0, 5) and (0, 每5).
The domain is {x | 每3 ≒ x ≒ 3}.
The range is {y { 每5 ≒ y ≒ 5}.( my choice)

The center of the ellipse is (0, 0).
The x-intercepts are (0, 5) and (0, 每5).
The y-intercepts are (每3, 0) and (3, 0).
The domain is {y { 每5 ≒ y ≒ 5}.
The range is {x | 每3 ≒ x ≒ 3}.

The center of the ellipse is (0, 0).
The x-intercepts are (0, 5) and (0, 每5).
The y-intercepts are (每3, 0) and (3, 0).
The domain is {y { 每5 ≒ y ≒ 5}.
The range is {x | 每3 ≒ x ≒ 3}.

5. Identify the center and intercepts of the conic section. Then find the domain and range.

The center of the hyberbola is (0, 0).
The y-intercepts are (0, 5) and (0, 每5).
The domain is all real numbers.
The range is {y | y ≡ 每5 or y ≒ 5}.

The center of the hyberbola is (0, 0).
The x-intercepts are (0, 5) and (0, 每5).
The domain is all real numbers.
The range is {y | y ≒ 每5 or y ≡ 5}.

The center of the hyberbola is (0, 0).
The y-intercepts are (0, 5) and (0, 每5).
The domain is all real numbers.
The range is {y | y ≒ 每5 or y ≡ 5}.(my choice)

The center of the hyberbola is (0, 0).
The x-intercepts are (0, 5) and (0, 每5).
The domain is all real numbers.
The range is {x | x ≒ 每5 or x ≡ 5}.

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