Complete the square to determine whether the graph of the equation is an ellipse, a parabola, a hyperbola, a degenerate

Business, Finance, Economics, Accounting, Operations Management, Computer Science, Electrical Engineering, Mechanical Engineering, Civil Engineering, Chemical Engineering, Algebra, Precalculus, Statistics and Probabilty, Advanced Math, Physics, Chemistry, Biology, Nursing, Psychology, Certifications, Tests, Prep, and more.
Post Reply
answerhappygod
Site Admin
Posts: 899604
Joined: Mon Aug 02, 2021 8:13 am

Complete the square to determine whether the graph of the equation is an ellipse, a parabola, a hyperbola, a degenerate

Post by answerhappygod »

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.
Join a community of subject matter experts. Register for FREE to view solutions, replies, and use search function. Request answer by replying!
Post Reply