Unit 10 Conic Sections Quiz

What is a circle?

A circle is the set of all points that are equidistant from a fixed point, the center.

What is an ellipse

The set of all points such that the sums of the distances between a select point and two distinct fixed points, called the foci, is a constant

What is a hyperbola?

The set of all points such that the difference of the distances between a select point and two distinct fixed points, called the foci is a constant

What is a parabola?

the set of all points equidistant from a fixed point and a fixed line

What is the horizontal parabola equation?

y^2 = 4px

What is the vertical parabola equation?

x^2 = 4py

What is the focus in the x^2 = 4py form?

(0, p)

What is the focus in the y^2 = 4py form?

(p, 0)

What is the directrix in the x^2 = 4py form?

y = -p

What is the directrix in the y^2 = 4py form?

x = -p

What is the eccentricity formula?

c/a

What is the horizontal equation for a hyperbola?

x^2/a^2 - y^2/b^2 = 1

What is the vertical equation for a hyperbola?

y^2/b^2- x^2/a^2 = 1

What is the equation related to foci for hyperbolas?

c^2 = a^2 + b^2

What is the asymptote equation for a horizontal hyperbola?

y = +-bx/a

What is the asymptote equation for a vertical hyperbola?

y = +-ax/b

What is the standard form of a circle/

x^2 + y^2 = r^2

What denominator is a in an ellipse?

the bigger number

What is the equation for a horizontal ellipse?

x^2/a^2 + y^2/b^2 = 1

What is the equation for a vertical ellipse?

x^2/b^2 + y^2/a^2 = 1

What are the key features in a circle?

center, radius

What are the key features in an ellipse?

vertices, co-vertices, foci

What are the key features in an hyperbola?

vertices, foci, asymptotes, center

What are the key features in a parabola?

vertex, focus, directrix