Complete the square to determine whether the graph of the equation is an ellipse, a parabola, a hyperbola, a degenerate
Posted: Tue May 10, 2022 8:33 pm
Complete the square to determine whether the graph of the
equation is an ellipse, a parabola, a hyperbola, a degenerate
conic, or results in no solution.
4x2 + 25y2 − 32x + 150y + 189 = 0
If the graph is an ellipse, find the center, foci, vertices, and
lengths of the major and minor axes. If it is a parabola, find the
focus, vertex, and directrix. If it is a hyperbola, find the
center, foci, vertices, and asymptotes. (Enter your answers for
asymptotes as a comma-separated list of equations. If an answer
does not exist, enter DNE.)
center (x, y) =
focus (x, y) = (smaller x-value or only focus)
focus (x, y) = (larger x-value)
vertex (x, y) = (smaller x-value or only vertex)
vertex (x, y) = (larger x-value)
length of the major axis
length of the minor axis
asymptotes
directrix
Sketch the graph of the equation.
equation is an ellipse, a parabola, a hyperbola, a degenerate
conic, or results in no solution.
4x2 + 25y2 − 32x + 150y + 189 = 0
If the graph is an ellipse, find the center, foci, vertices, and
lengths of the major and minor axes. If it is a parabola, find the
focus, vertex, and directrix. If it is a hyperbola, find the
center, foci, vertices, and asymptotes. (Enter your answers for
asymptotes as a comma-separated list of equations. If an answer
does not exist, enter DNE.)
center (x, y) =
focus (x, y) = (smaller x-value or only focus)
focus (x, y) = (larger x-value)
vertex (x, y) = (smaller x-value or only vertex)
vertex (x, y) = (larger x-value)
length of the major axis
length of the minor axis
asymptotes
directrix
Sketch the graph of the equation.