Graphing a transformed hyperbola combines the skills of graphing hyperbolas and graphing transformations. With hyperbola graphs, we use the formula a^2 + b^2 = c^2 to determine the foci and y= + or - (a/b)x to determine the asymptotes. When transforming hyperbola graphs, we find the center of the graph and then graph accordingly.
Sample Problems (5)
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Graph the equation for a hyperbola with vertices (0,1),(4,1) and foci at (-1,1),(5,1).
Given 4x² − 9y² − 8x − 54y − 113 = 0.