REVIEW: CONIC SECTIONS

REVIEW:
CONIC SECTIONS

CONIC SECTIONS

COVERAGE:

• Circle (Standard Equation and Graph)

• Parabola (Graph)

• Ellipse (Standard Equation and Graph)

• Hyperbola (Graph)

REVIEW:
CONIC SECTIONS

CIRCLE/PARABOLA/ELLIPSE/HYPERBOLA

Multiple Choice

Define circle as conic section.

• A set of points  in a plane that are equidistant from a fixed line called directrix and fixed point called focus.

• A set of all points such that the distance from a fixed point is constant.

• It describes as the intersection of a plane and a double-napped cone.

• It is generated when the plane is parallel to one generator and intersecting only one of its nappes.

CIRCLE

A set of all points such that the distance from a fixed point is constant.

Multiple Choice

It is generated when the plane is parallel to one generator and intersecting only one of its nappes.

• CIRCLE

• PARABOLA

• ELLIPSE

• HYPERBOLA

PARABOLA

It is generated when the plane is parallel to one generator and intersecting only one of its nappes.

Multiple Choice

The standard equation of ellipse if the major axis is in the horizontal axis.

Multiple Choice

The graph of ellipse if the minor axis is located in the y-axis. 

• Horizontal

• Vertical

Multiple Choice

Which is TRUE about the graph of parabola?

• If p > 0, parabola opens to the downward.

• If p < 0 , parabola opens to the left.

• If p < 0 , parabola opens to the right.

• If p < 0 , parabola opens to the upward.

Multiple Choice

Which is TRUE about the graph of ellipse?

• If a is located in the denominator of the x , the major axis is horizontal.       

• If a is located in the denominator of the y , the major axis is horizontal.       

• If b is located in the denominator of the x , the major axis is horizontal.

• If b is located in the denominator of the y , the major axis is vertical.         

Open Ended

HOW TO DETERMINE THE EQUATION OF ELLIPSE?

Open Ended

HOW TO DETERMINE THE EQUATION OF HYPERBOLA?

Draw

Graph the circle with the center at (-2,7)and radius is 4.

Draw

Graph the parabola with the equation of $$y^2=28x$$

GRAPH OF ELLIPSE

HYPERBOLA