# Get help with conic sections equations Recent questions in Conic sections
Conic sections
ANSWERED ### Write the following equation in standard form and sketch its graph $$\displaystyle{9}{x}^{2}+{72}{x}-{64}{y}^{2}+{128}{y}+{80}={0}$$

Conic sections
ANSWERED ### Solve for the equation in standard form of the following conic sections and graph the curve on a Cartesian plane indicating important points. 1. An ellipse passing through (4, 3) and (6, 2) 2. A parabola with axis parallel to the x-axis and passing through (5, 4), (11, -2) and (21, -4) 3. The hyperbola given by $$\displaystyle{5}{x}^{2}-{4}{y}^{2}={20}{x}+{24}{y}+{36}.$$

Conic sections
ANSWERED ### The type of conic sections for the nondegenerate equations given below. a) $$\displaystyle{8}{x}^{{{2}}}\ -\ {2}{y}^{{{2}}}\ -\ {3}{x}\ +\ {2}{y}\ -\ {6}={0} \$$ b) $$\displaystyle-{6}{y}^{{{2}}}\ +\ {4}{x}\ -\ {12}{y}\ -\ {24}={0}$$ c) $$\displaystyle-{9}{x}^{{{2}}}\ -\ {4}{y}^{{{2}}}\ -\ {18}{x}\ +\ {12}{y}={0}$$

Conic sections
ANSWERED ### Solve, a.Determine the conic section of the polar equation $$\displaystyle{r}=\frac{8}{{{2}+{2} \sin{\theta}}}$$ represents. b. Describe the location of a directrix from the focus located at the pole.

Conic sections
ANSWERED ### Consider the equation: $$\displaystyle{2}\sqrt{{3}}{x}^{2}-{6}{x}{y}+\sqrt{{3}}{x}+{3}{y}={0}$$ a) Use the discriminant to determine whether the graph of the equation is a parabola, an ellipse, or a hyperbola? b) Use a rotation of axes to eliminate the xy-term. (Write an equation in XY-coordinates. Use a rotation angle that satisfies $$\displaystyle{0}\le\varphi\le\pi\text{/}{2}$$)

Conic sections
ANSWERED ### Determine whether the statement, 'I noticed that depending on the values for A and C, assuming that they are not both zero, the graph of $$\displaystyle{A}{x}^{{{2}}}+{C}{y}^{{{2}}}+{D}{x}+{E}{y}+{F}={0}$$ can represent any of the conic sections', makes sense or does not make sense, and explain your reasoning.
ANSWERED 