Identify what type of conic section is given by the equation below and then find the center, foci, and vertices.

Ernstfalld 2021-08-12 Answered
Identify what type of conic section is given by the equation below and then find the center, foci, and vertices. If it is a hyperbola, you should also find the asymptotes.
\(\displaystyle{4}{x}^{{2}}-{24}{x}-{4}{y}+{28}={y}^{{2}}\)
image

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Usamah Prosser
Answered 2021-08-13 Author has 17279 answers

Given that:
image
image
image

Not exactly what you’re looking for?
Ask My Question
21
 

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2021-08-08
Find the equation of the graph for each conic in general form. Identify the conic, the center, the vertex, the co-vertex, the focus (foci), major axis, minor axis, \(\displaystyle{a}^{{2}}\), \(\displaystyle{b}^{{2}}\), and \(\displaystyle{c}^{{2}}\). For hyperbola,find the asymtotes.Sketch the graph
\(\displaystyle{9}{\left({y}-{3}\right)}^{{2}}-{4}{\left({x}+{5}\right)}^{{2}}={36}\)
asked 2021-09-20
Identify the type of conic section whose equation is given and find the vertices and foci.
\(\displaystyle{x}^{{2}}={4}{y}-{2}{y}^{{2}}\)
asked 2021-08-10
Sketch the three basic conic sections in standard position with vertices and foci on the x-axis.
asked 2021-08-07
Identify and sketch the graph of the conic section.
\(\displaystyle{9}{x}^{{2}}+{9}{y}^{{2}}+{18}{x}-{18}{y}+{14}={0}\)
asked 2021-08-11

Find the vertices and foci of the conic section. \(\frac{x^2}{4 }− \frac{y^2}{9} = 36\)
image

asked 2021-01-25

Find the equation of the graph for each conic in standard form. Identify the conic, the center, the co-vertex, the focus (foci), major axis, minor axis, \(a^{2}, b^{2},\ and\ c^{2}.\) For hyperbola, find the asymptotes \(9x^{2}\ -\ 4y^{2}\ +\ 54x\ +\ 32y\ +\ 119 = 0\)

asked 2021-08-08
The type of conic sections for the nondegenerate equations given below.
a) \(\displaystyle{0.1}{x}^{{{2}}}+{0.6}{x}-{1.6}={0.2}{y}-{0.1}{y}^{{{2}}}\)
b) \(\displaystyle{2}{x}^{{{2}}}-{7}{x}{y}=-{y}^{{{2}}}+{4}{x}-{2}{y}-{1}\)
c) \(\displaystyle{8}{x}+{2}{y}={y}^{{{2}}}+{4}\)
...