Posted by Lee on .
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 yaxis and the xaxis are lines of symmetry.( my choice)
Every line through the center is a line of symmetry.
The yaxis and the xaxis are lines of symmetry.
2. Graph x2 + 9y2 = 25. What are the domain and range?
Domain: ¨C3 ¡Ü x ¡Ü 3
Range: ¨C3 ¡Ü y ¡Ü 3
Domain: ¨C5 ¡Ü x ¡Ü 5
Range: ¨C5 ¡Ü y ¡Ü 5 (my choice)
Domain: ¨C5 ¡Ü x ¡Ü 5
Range: ¨C1.67 ¡Ü y ¡Ü 1.67
Domain: ¨C1.67 ¡Ü x ¡Ü 1.67
Range: ¨C5 ¡Ü y ¡Ü 5
3. Graph x2 ¨C y2 = 16. What are its lines of symmetry?
It has four lines of symmetry, the xaxis, the yaxis, y = x, and y = ¨Cx.
Every line through the center is a line of symmetry.
It has four lines of symmetry, the xaxis, the yaxis, y = x, and y = ¨Cx.
It has two lines of symmetry, the xaxis and the yaxis. ( 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 xintercepts are (0, 5) and (0, ¨C5).
The yintercepts are (¨C3, 0) and (3, 0).
The domain is {x  ¨C3 ¡Ü x ¡Ü 3}.
The range is {y { ¨C5 ¡Ü y ¡Ü 5}.
The center of the ellipse is (0, 0).
The xintercepts are (¨C3, 0) and (3, 0).
The yintercepts are (0, 5) and (0, ¨C5).
The domain is {x  ¨C3 ¡Ü x ¡Ü 3}.
The range is {y { ¨C5 ¡Ü y ¡Ü 5}.( my choice)
The center of the ellipse is (0, 0).
The xintercepts are (0, 5) and (0, ¨C5).
The yintercepts are (¨C3, 0) and (3, 0).
The domain is {y { ¨C5 ¡Ü y ¡Ü 5}.
The range is {x  ¨C3 ¡Ü x ¡Ü 3}.
The center of the ellipse is (0, 0).
The xintercepts are (0, 5) and (0, ¨C5).
The yintercepts are (¨C3, 0) and (3, 0).
The domain is {y { ¨C5 ¡Ü y ¡Ü 5}.
The range is {x  ¨C3 ¡Ü x ¡Ü 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 yintercepts are (0, 5) and (0, ¨C5).
The domain is all real numbers.
The range is {y  y ¡Ý ¨C5 or y ¡Ü 5}.
The center of the hyberbola is (0, 0).
The xintercepts are (0, 5) and (0, ¨C5).
The domain is all real numbers.
The range is {y  y ¡Ü ¨C5 or y ¡Ý 5}.
The center of the hyberbola is (0, 0).
The yintercepts are (0, 5) and (0, ¨C5).
The domain is all real numbers.
The range is {y  y ¡Ü ¨C5 or y ¡Ý 5}.(my choice)
The center of the hyberbola is (0, 0).
The xintercepts are (0, 5) and (0, ¨C5).
The domain is all real numbers.
The range is {x  x ¡Ü ¨C5 or x ¡Ý 5}.

algebra 
Steve,
#1. Every line through the center is an axis of symmetry. The x and y axes are just two of them.
#2. Not sure what the scrambled symbols are, but
domain is 5 <= x <= 5
range is 5/3 <= y <= 5/3
#3. Since + came out ok, I assume the equation is
x^2  y^2 = 16
As you say, x and yaxes are the axes of symmetry
#4. If your choice is correct, the equation of the ellipse must have been
x^2/9 + y^2/25 = 1
#5. If your choice is correct, the equation of the hyperbola must have been
y^2/25  x^2 = 1 
algebra 
Anonymous,
12m to the 3rd power plus 12m to the 2nd power plus 0m divided by 3m to the 2ns power divided by 3m to the 2nd power

algebra 
Anonymous,
a.
c.
d.
b.
c. 
algebra 
Anonymous,
Thanks^^ 100% right

algebra 
Lizbeth,
The fact I can see you soon as possible and to get my nails are you doing it wrong that I'm going back and I don't think that it was not immediately available to all of them in my head and a lot more fun and addicting and I don't think that it was not immediately available to all of them in my head