Precalculus Final Review

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.

Front

What is the standard form of a circle's equation?

Back

Front

How do you find the center of a circle from its equation?

Back

Front

What is the vertex form of a parabola?

Back

Front

How do you determine the x-intercepts of a quadratic equation?

Back

Front

What is the general form of a parabola's equation?

Back

Front

What is the difference between a circle and an ellipse?

Back

A circle is a special case of an ellipse where the two foci coincide, resulting in equal distances from the center to any point on the curve.

Front

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

Back

Front

How do you convert the general form of a conic section to standard form?

Back

To convert the general form of a conic section to standard form, complete the square for the x and y terms.

Front

What is the focus of a parabola?

Back

The focus of a parabola is a fixed point located along the axis of symmetry, where all points on the parabola are equidistant from the focus and the directrix.