Pre-Calc/Chapter 8: Analytic Geometry in Two- and Three-Dimensions/8.1 Conic Sections and Parabolas/8.1.1 Find Vertex, Fous, Directrix, and Focal Width Find the vertex, focus, directrix, and focal width of the parabola.- x2 = y Find the vertex, focus, directrix, and focal width of the parabola.

- x² = y]]> 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 1.0000000 0.3333333 0 true true abc Vertex: (0, 0); Focus: (0, -10); Directrix: y = 10; Focal width: 40 Correct Vertex: (0, 0); Focus: (-20, 0); Directrix: x = 10; Focal width: 160 Incorrect Vertex: (0, 0); Focus: (0, 10); Directrix: y = -10; Focal width: 10 Incorrect Vertex: (0, 0); Focus: (0, -10); Directrix: y = 10; Focal width: 160 Incorrect Find the vertex, focus, directrix, and focal width of the parabola.x = 7y2 Find the vertex, focus, directrix, and focal width of the parabola.

x = 7y²]]> 1.0000000 0.3333333 0 true true abc ; Directrix: x = - ; Focal width: 0.14]]> 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 Incorrect ; Directrix: x = ; Focal width: 28]]> 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 Incorrect ; Directrix: x = - ; Focal width: 0.14]]> /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCAAmACgDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD7+/Zw/wCKn+HGlfEa/wD3/iDx1ZQa7cTyfM9vazBp7PT1bp5VrDOIhtVFd/NmKLJPKWsar488T6X+0B4b8JywaSPC2s6RqN5E6CV77zbVrQbmbKoin7Uw2BWPyBt43bRX/ZO/5NY+Df8A2Jmjf+kMNT+Kfhl4p1z42eFPG1l4n0iy0fQrO6sTpE+hyz3E8dy0DTn7SLtFVv8ARowh8ohctkPkYqFuZc22v5O34lJpJ37Hp1FFea/ETxN4yuPGWm+EvA9xommajLptxqtzqev2M17CiJJHHHCsMU8LFnaRiX34QR/dYsMQ3ql/Wiv+SbJ6Xf8AXT8zJmvZvhH8bdE0u1sLiTwf8QpriKOO2aNYNJ1uKG4vJpCjPv23sMczsIlCJNaM7KXvJHormpvHFx8SYP2Z/Et3Zxafe6j4onkuLWCXzY4pR4e1pZFViASAytgkA460U9Oglqiv8Ivhh4U+If7IfwYn8Q/D/wAPeP7/AE7wRpR0201+xt51R3sbfcFeZH8pWKJuKgnCDhiAK4LWfD/wi8DeEvHF740/Zw+Gmi614XnsYpI7PT7O50yaO8ZEhnN49lE0UaMz+aXhzGsZYBwVz67+z7Lr8P7GfwsfwtbadeeIR4H0f7FDq9zJb2hk+ww4MrxxyMFHX5VJOMcZyM2D4bfEbWvh5qui63onhaDUZ7231K5J8SXOoReInV18+C9J0+DyYpI40iwiSoEATyii7Glt628vz1/D18kaK1k33+/y8vL8WQ/BaxXS9M1SHwH8K/BXw71Vtat7LVb/AMNRw3Gk3VrGolaVJoo7WSdgsksKgx/u5mOQVDE9/wDEP4ceJNb8V6b4o8HeKrTwzrltZTaZONU0ptStJ7eRkfPlLPAyyo8alX3kYZwUbIIpfAf4WXPwzsteaXR9B8JW+q3aXEPhbwtK8mmabtiWNjEzRQgtIVMj7IYlyR8rMGkf1OtJJJq26/O1n9+vlqzNef8AWt/8vuPDPFHhC18Aal+zf4cs5ZJ7fTPFMtsJ5seZMV8OazukbHG5jljgAZJwBRW98ZP+Si/An/sc7n/1HtZoqRh8FP8AihbzVfhK/wC+j8I2VrdaTcR/cGjXM13HYWzA/MJbdbOS3JJcyJDFKzl5pEj9VoooAKKKKAPH/A+k2Pxa+Jdz8TNQsrea38OTaj4a8MQXMSvPYSw3c1rql4GAwjXElukSrlysNsrBkN1NEpRRQB//2Q==/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCAAmABMDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD9QfEbasui3X9hLZNqxXFudRZxAhJALuEBZgoy20Y3YC7kzuHLfAjx1qPxN+DPgvxZq8VrDqes6VBe3MdkjJCsjoCwRWZmC5PALE+5rrNeg1K50a8i0a7tLDVHiK21zfWrXUET9meJZI2cf7IdSfUVx3wH+HOrfCP4WaD4O1fXLLxE+jW6WdvfWWmvYhoEUKgeNp5svwcsGAORhRjmo25ZX30/W/6FXXLbrc9AoooqST5e+K/wa+HHw2V9Ytv2avhrrPhCx8k6le/2dZQ36I8iq7W1qLN1m2BtxDzRMcEKGOM8x4h0H4N6f8U9V8KaV+zx8MdWg0XULDT9SR7Gxg1cm6VHWe1sPsbCeFVclnMsZ/czbVITLe1fEnSvifrHjixk0fw74U1vwhp/lXMFrqfie606We8VgyyzJHp04ZY2AMaB8bhvbJCbOR8Zfs+6/wCLfH13qVxonhK5mudSt9Qs/HNzdTf29oUUfklrS0QW/KZikAYXESn7Q5eJ/nWUhrKN9ru/TqtPuv29b2RUrK/ovl5/116WPoyiiigkKKKKACiiigD/2Q== Correct ; Directrix: y = - ; Focal width: 28]]> /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCAAmACgDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD7+/Zw/wCKn+HGlfEa/wD3/iDx1ZQa7cTyfM9vazBp7PT1bp5VrDOIhtVFd/NmKLJPKW9Vr5t+D3inxDpf7Mv7OugeFG0621zXvC+lQrf6vbvc21nDFpaSySNDHJE0pJRECCRP9ZuJwuD6r8GPGus+NfC98fEUNhHr2k6reaPevpgZbaeSCUoJY0dmaMOu1tjMxXdjc2MlJpu3X/hv8194PRX+Xz1f5J/cdtfvcx2Nw1lFFPeLGxhinlMUbvj5VZwrFQTjJCsQOcHpXAfAjxzr3j7wdqN34kXThq9hruqaRI2lQyRQOLW8lgVgru7AkRgnLdSeB0r0K4WVoJBA6RzFSEeRC6q2OCVBGRntkfUV5x8Dfhp4k+F+j65Y+IPEuleJDqOr3erxyaZo0mneTJdTyTzKQ91PvXfJhcFSAMHcea0jy2lf5feU2uS3W/4Wf62Mqa9m+Efxt0TS7WwuJPB/xCmuIo47Zo1g0nW4obi8mkKM+/bewxzOwiUIk1ozspe8keirfxk/5KL8Cf8Asc7n/wBR7WaKgk4b4OeANV8X/svfs96p4d1+Hw74j0HwvpNzZ3N5Ym+tJFk0yOKWKeBZYmdSjkjbIhVlU5IBU+jfDbwf4l8D30elTXVpqGmOt1qWr6vJa+VLqGpXM5kP2dFmbyYoxvBVwxwYgHYq7Gl+yd/yax8G/wDsTNG/9IYa9VoWmv8AX9eXdJg9dP6/rpfex89fGn4J+DtO/tLxHpX7PXw48cXhS41TVrvWra0s7i4bmR/Lc2cxmnc7ifNMakkEycnHmHjm3+Cei6rZWPhz9nn4Z6tcS+HLfxQ9prWn2OlXdxazMVWKyh+xy/aLgFQGjLRqGkiXfl+PoD40aN8QvEs+n6Z4a0Xw5q/haRWbVrbV/EFxpkt52W3PlWNwDARy4ypfhThNwfiPir8D/FHxP1KS81bwl4G1+bUdLhtUfW9RuJX8KXQEgkuNOYWm6YkyI+5TZyEwJ84+UxpX0trr6dH+F7drW31VtLRur/P71+Nr991po0dN8RLCx0rxP+zvZaZp0ekabbeKpIbXT4YFgS1iXw3rASJY14QKoChRwMYHSipPibYyaZ4v/Z8s5bqW+lt/FksT3U5zJMV8OawC7e5xk/Wiqdr6GMbtK+5c+Cn/ABQt5qvwlf8AfR+EbK1utJuI/uDRrma7jsLZgfmEtutnJbkkuZEhilZy80iR+q0UUigooooA8f8AA+k2Pxa+Jdz8TNQsrea38OTaj4a8MQXMSvPYSw3c1rql4GAwjXElukSrlysNsrBkN1NEpRRQB//Z/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCAAmABMDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD9QfEbasui3X9hLZNqxXFudRZxAhJALuEBZgoy20Y3YC7kzuHLfAjx1qPxN+DPgvxZq8VrDqes6VBe3MdkjJCsjoCwRWZmC5PALE+5rrNeg1K50a8i0a7tLDVHiK21zfWrXUET9meJZI2cf7IdSfUVx3wH+HOrfCP4WaD4O1fXLLxE+jW6WdvfWWmvYhoEUKgeNp5svwcsGAORhRjmo25ZX30/W/6FXXLbrc9AoooqST5e+K/wa+HHw2V9Ytv2avhrrPhCx8k6le/2dZQ36I8iq7W1qLN1m2BtxDzRMcEKGOM8x4h0H4N6f8U9V8KaV+zx8MdWg0XULDT9SR7Gxg1cm6VHWe1sPsbCeFVclnMsZ/czbVITLe1fEnSvifrHjixk0fw74U1vwhp/lXMFrqfie606We8VgyyzJHp04ZY2AMaB8bhvbJCbOR8Zfs+6/wCLfH13qVxonhK5mudSt9Qs/HNzdTf29oUUfklrS0QW/KZikAYXESn7Q5eJ/nWUhrKN9ru/TqtPuv29b2RUrK/ovl5/116WPoyiiigkKKKKACiiigD/2Q== Incorrect Find the vertex, focus, directrix, and focal width of the parabola.x2 = 8y Find the vertex, focus, directrix, and focal width of the parabola.

x² = 8y]]> 1.0000000 0.3333333 0 true true abc Vertex: (0, 0); Focus: (0, -2); Directrix: x = -2; Focal width: 32 Incorrect Vertex: (0, 0); Focus: (2, 0); Directrix: x = 2; Focal width: 2 Incorrect Vertex: (0, 0); Focus: (2, 0); Directrix: y = 2; Focal width: 32 Incorrect Vertex: (0, 0); Focus: (0, 2); Directrix: y = -2; Focal width: 8 Correct Find the vertex, focus, directrix, and focal width of the parabola.y2 = -32x Find the vertex, focus, directrix, and focal width of the parabola.

y² = -32x]]> 1.0000000 0.3333333 0 true true abc Vertex: (0, 0); Focus: (-8, 0); Directrix: y = 8; Focal width: 128 Incorrect Vertex: (0, 0); Focus: (-8, 0); Directrix: x = 8; Focal width: 32 Correct Vertex: (0, 0); Focus: (8, 0); Directrix: x = -8; Focal width: 8 Incorrect Vertex: (0, 0); Focus: (0, -8); Directrix: y = 8; Focal width: 128 Incorrect Find the vertex, focus, directrix, and focal width of the parabola.y2 = 16x Find the vertex, focus, directrix, and focal width of the parabola.

y² = 16x]]> 1.0000000 0.3333333 0 true true abc Vertex: (0, 0); Focus: (4, 0); Directrix: x = -4; Focal width: 64 Incorrect Vertex: (0, 0); Focus: (0, 4); Directrix: y = -4; Focal width: 4 Incorrect Vertex: (0, 0); Focus: (4, 0); Directrix: x = -4; Focal width: 16 Correct Vertex: (0, 0); Focus: (4, 4); Directrix: x = 4; Focal width: 64 Incorrect