47-58 Graphing Shifted Conics Complete the square to determine whether the graph of the equation is an ellipse, a parabola, a hyperbola, or a degenerate conic. If the graph is an ellipse, find the center, foci, vertices, and the lengths of the major and minor axes. If it is parabola, find the vertex, focus, and directrix. If it is hyperbola, find the center, foci, vertices, and asymptotes. Then sketch the graph of the equation. if the equation has no graph, explain why.
The graph of the equation and its characteristics.
The given equation is
Write the equation of a vertical line.
Here, it is vertical line with as the x-intercept.
Write the equation of a horizontal line.
Here, it is horizontal line with as the y-intercept.
Consider the given equation,
Now complete the square as shown below,
Further solve the above equation.
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