All Precalculus Resources
Example Questions
Example Question #1 : Identify The Conic With A Given Polar Equation
Given the polar equation, determine the conic section:
Ellipse
Hyperbola
Parabola
Hyperbola
Recall that the polar equations of conic sections can come in the following forms:
, where is the eccentricity of the conic section.
To determine what conic section the polar graph depicts, look only at the conic section's eccentricity.
will give an ellipse.
will give a parabola.
will give a hyperbola.
Now, for the given conic section, so it must be a hyperbola.
Example Question #2 : Identify The Conic With A Given Polar Equation
Given the polar equation, determine the conic section:
Parabola
Hyperbola
Ellipse
Ellipse
Recall that the polar equations of conic sections can come in the following forms:
, where is the eccentricity of the conic section.
To determine what conic section the polar graph depicts, look only at the conic section's eccentricity.
will give an ellipse.
will give a parabola.
will give a hyperbola.
Now, for the given conic section, so it must be an ellipse.
Example Question #3 : Identify The Conic With A Given Polar Equation
Given the polar equation, determine the conic sectioN:
Hyperbola
Ellipse
Parabola
Ellipse
Recall that the polar equations of conic sections can come in the following forms:
, where is the eccentricity of the conic section.
To determine what conic section the polar graph depicts, look only at the conic section's eccentricity.
will give an ellipse.
will give a parabola.
will give a hyperbola.
First, put the given polar equation into one of the forms seen above by dividing everything by .
Now, for the given conic section, so it must be an ellipse.
Example Question #4 : Identify The Conic With A Given Polar Equation
Given the polar equation, determine the conic section:
Parabola
Ellipse
Hyperbola
Parabola
Recall that the polar equations of conic sections can come in the following forms:
, where is the eccentricity of the conic section.
To determine what conic section the polar graph depicts, look only at the conic section's eccentricity.
will give an ellipse.
will give a parabola.
will give a hyperbola.
First, put the given polar equation into one of the forms seen above by dividing everything by .
Now, for the given conic section, so it must be a parabola.
Example Question #5 : Identify The Conic With A Given Polar Equation
Given the polar equation, determine the conic section:
Parabola
Ellipse
Hyperbola
Hyperbola
Recall that the polar equations of conic sections can come in the following forms:
, where is the eccentricity of the conic section.
To determine what conic section the polar graph depicts, look only at the conic section's eccentricity.
will give an ellipse.
will give a parabola.
will give a hyperbola.
First, put the given polar equation into one of the forms seen above by dividing everything by .
Now, for the given conic section, so it must be a hyperbola.
Example Question #6 : Identify The Conic With A Given Polar Equation
Given the polar equation, identify the conic section.
Ellipse
Hyperbola
Parabola
Parabola
Recall that the polar equations of conic sections can come in the following forms:
, where is the eccentricity of the conic section.
To determine what conic section the polar graph depicts, look only at the conic section's eccentricity.
will give an ellipse.
will give a parabola.
will give a hyperbola.
Now, for the given conic section, so it must be a parabola.
Example Question #7 : Identify The Conic With A Given Polar Equation
Given the polar equation, identify the conic section:
Hyperbola
Parabola
Ellipse
Hyperbola
Recall that the polar equations of conic sections can come in the following forms:
, where is the eccentricity of the conic section.
To determine what conic section the polar graph depicts, look only at the conic section's eccentricity.
will give an ellipse.
will give a parabola.
will give a hyperbola.
First, put the given polar equation into one of the forms seen above by dividing everything by .
Now, for the given conic section, so it must be a hyperbola.
Example Question #8 : Identify The Conic With A Given Polar Equation
Given the polar equation, identify the conic section:
Hyperbola
Parabola
Ellipse
Hyperbola
Recall that the polar equations of conic sections can come in the following forms:
, where is the eccentricity of the conic section.
To determine what conic section the polar graph depicts, look only at the conic section's eccentricity.
will give an ellipse.
will give a parabola.
will give a hyperbola.
First, put the given polar equation into one of the forms seen above by dividing everything by .
Now, for the given conic section, so it must be a hyperbola.
Example Question #9 : Identify The Conic With A Given Polar Equation
Given the polar equation, identify the conic section.
Ellipse
Hyperbola
Parabola
Ellipse
Recall that the polar equations of conic sections can come in the following forms:
, where is the eccentricity of the conic section.
To determine what conic section the polar graph depicts, look only at the conic section's eccentricity.
will give an ellipse.
will give a parabola.
will give a hyperbola.
First, put the given polar equation into one of the forms seen above by dividing everything by .
Now, for the given conic section, so it must be an ellipse.
Example Question #10 : Identify The Conic With A Given Polar Equation
Given the polar equation, identify the conic section.
Parabola
Ellipse
Hyperbola
Parabola
Recall that the polar equations of conic sections can come in the following forms:
, where is the eccentricity of the conic section.
To determine what conic section the polar graph depicts, look only at the conic section's eccentricity.
will give an ellipse.
will give a parabola.
will give a hyperbola.
First, put the given polar equation into one of the forms seen above by dividing everything by .
Now, for the given conic section, so it must be a parabola.