What is the vertex of a parabola?

The vertex of a parabola is the point where the parabola changes direction, and it is the minimum or maximum point of the parabola.

What is the equation of a horizontal ellipse?

The equation of a horizontal ellipse is of the form $$\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$$ , where a > b.

What is the equation of a vertical ellipse?

The equation of a vertical ellipse is of the form $$\frac{y^2}{a^2} + \frac{x^2}{b^2} = 1$$ , where a > b.

What is the eccentricity of a conic section?

Eccentricity is a measure of how much a conic section deviates from being circular. For ellipses, it is between 0 and 1; for parabolas, it is equal to 1; and for hyperbolas, it is greater than 1.

What is the focus of a conic section?

The focus of a conic section is a fixed point used in the definition of the curve. For ellipses and hyperbolas, there are two foci.

What is the directrix of a parabola?

The directrix of a parabola is a fixed line used in the definition of the parabola, which is equidistant from the focus.

How do you identify a hyperbola from its equation?

A hyperbola can be identified from its equation if it is in the form $$\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1$$ or $$\frac{y^2}{b^2} - \frac{x^2}{a^2} = 1$$ .

What is the relationship between the axes of an ellipse?

In an ellipse, the major axis is the longest diameter, while the minor axis is the shortest diameter, and they are perpendicular to each other.

Conic Sections Types Review Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a conic section?

Back

A conic section is a curve obtained by intersecting a cone with a plane. The four types of conic sections are circles, ellipses, parabolas, and hyperbolas.

2.

FLASHCARD QUESTION

Front

What is the general equation of a circle?

Back

3.

FLASHCARD QUESTION

Front

What is the difference between an ellipse and a hyperbola?

Back

An ellipse is a set of points where the sum of the distances from two foci is constant, while a hyperbola is a set of points where the difference of the distances from two foci is constant.

4.

FLASHCARD QUESTION

Front

What is the standard form of the equation of an ellipse?

Back

5.

FLASHCARD QUESTION

Front

What is the length of the major axis of an ellipse?

Back

6.

FLASHCARD QUESTION

Front

What is the standard form of the equation of a hyperbola?

Back

7.

FLASHCARD QUESTION

Front

What is a parabola?

Back

A parabola is a conic section that can be defined as the set of all points equidistant from a point (focus) and a line (directrix).

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