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y2 Given the equation of a hyperbola a? . Identify the statement that describes a characteristic of this hyperbola. Select all that apply. O The vertices, foci, and center lie on the same line. O One branch of the hyperbola opens upward. O Distance a is measured from a focus point to the center. O The hyperbola is centered at the origin. none of theseFind an equation for the hyperbola that satisfies the given conditions. Foci: (0, +2), vertices: (0, +1)Find an equation for the hyperbola that satisfies the given conditions. Vertices: (+1, 0), asymptotes: y = +3xFind an equation for the hyperbola that satisfies the given conditions. Foci: (+5, 0), vertices: (+3, 0)\fAn equation of a hyperbola is given. - X = 1 36 (a) Find the vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of equations.) vertex (x, y) = ( (smaller y-value) vertex (x , y ) = (larger y-value) focus (x, y ) = ( (smaller y-value) focus (x, y) = (larger y-value) asymptotes (b) Determine the length of the transverse axis.An equation of a hyperbola is given. 4y2 - 16x2 = 256 (a) Find the vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of equations.) vertex (x, V) = (smaller y-value) vertex (x, y) = (larger y-value) focus (x, y ) =( (smaller y-value) focus (x, y ) = (larger y-value) asymptotes (b) Determine the length of the transverse axis.