Can someone check my answers on trying out conic sections?1. Graph x2 + y2 = 9. What are its lines of symmetry? Eincredibly line through the center is a line of symmetry.The y-axis and also the x-axis are lines of symmetry.( my choice)Eexceptionally line with the center is a line of symmetry.The y-axis and also the x-axis are lines of symmetry.2. Graph x2 + 9y2 = 25. What are the doprimary and also range? Domain: ¨C3 ¡Ü x ¡Ü 3Range: ¨C3 ¡Ü y ¡Ü 3Domain: ¨C5 ¡Ü x ¡Ü 5Range: ¨C5 ¡Ü y ¡Ü 5 (my choice)Domain: ¨C5 ¡Ü x ¡Ü 5Range: ¨C1.67 ¡Ü y ¡Ü 1.67Domain: ¨C1.67 ¡Ü x ¡Ü 1.67Range: ¨C5 ¡Ü y ¡Ü 53. Graph x2 ¨C y2 = 16. What are its lines of symmetry? It has four lines of symmeattempt, the x-axis, the y-axis, y = x, and y = ¨Cx.Eexceptionally line through the center is a line of symmeattempt.It has actually four lines of symmetry, the x-axis, the y-axis, y = x, and y = ¨Cx.It has actually two lines of symmetry, the x-axis and also the y-axis. ( my choice)4. Identify the center and intercepts of the conic area. Then uncover the domain and also range.The center of the ellipse is (0, 0). The x-intercepts are (0, 5) and also (0, ¨C5).The y-intercepts are (¨C3, 0) and (3, 0).The doprimary is ¨C3 ¡Ü x ¡Ü 3. The range is {y ¨C5 ¡Ü y ¡Ü 5.The center of the ellipse is (0, 0). The x-intercepts are (¨C3, 0) and also (3, 0).The y-intercepts are (0, 5) and (0, ¨C5).The domajor is x . The variety is {y ¨C5 ¡Ü y ¡Ü 5.( my choice)The center of the ellipse is (0, 0). The x-intercepts are (0, 5) and also (0, ¨C5).The y-intercepts are (¨C3, 0) and also (3, 0).The doprimary is {y ¨C5 ¡Ü y ¡Ü 5.The range is x . The center of the ellipse is (0, 0). The x-intercepts are (0, 5) and also (0, ¨C5).The y-intercepts are (¨C3, 0) and also (3, 0).The domajor is {y ¨C5 ¡Ü y ¡Ü 5.The array is ¨C3 ¡Ü x ¡Ü 3.5. Identify the center and also intercepts of the conic area. Then find the doprimary and also variety.The center of the hyberbola is (0, 0).The y-intercepts are (0, 5) and also (0, ¨C5).The domajor is all real numbers.The selection is y .The facility of the hyberbola is (0, 0).The x-intercepts are (0, 5) and (0, ¨C5).The domajor is all actual numbers.The selection is y ¡Ü ¨C5 or y ¡Ý 5.The center of the hyberbola is (0, 0).The y-intercepts are (0, 5) and (0, ¨C5).The doprimary is all actual numbers.The array is y ¡Ü ¨C5 or y ¡Ý 5.(my choice)The facility of the hyberbola is (0, 0).The x-intercepts are (0, 5) and also (0, ¨C5).The domajor is all actual numbers.The variety is x ¡Ü ¨C5 or x ¡Ý 5.




You are watching: Graph x^2+y^2=9 what are its lines of symmetry

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Lee

Feb 19, 2013

#1. Eextremely line with the center is an axis of symmeattempt. The x- and also y- axes are just two of them.#2. Not sure what the scrambled signs are, butdomain is -5 range is -5/3 #3. Due to the fact that + came out ok, I assume the equation isx^2 - y^2 = 16As you say, x- and also y-axes are the axes of symmetry#4. If your alternative is correct, the equation of the ellipse must have actually beenx^2/9 + y^2/25 = 1#5. If your alternative is correct, the equation of the hyperbola need to have actually beeny^2/25 - x^2 = 1


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Steve



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