Understanding Rectangular Hyperbolas

It has no asymptotes.

Its asymptotes are at acute angles.

Its asymptotes are at right angles.

It has parallel asymptotes.

They are irrelevant to the graph.

They define the orientation of the hyperbola.

They help in identifying the center of the hyperbola.

They determine the color of the graph.

The hyperbola has no real solutions.

The hyperbola is a line.

The hyperbola is stretched equally in both directions.

The hyperbola is a circle.

Drawing the hyperbola freehand.

Placing the asymptotes first.

Drawing the foci first.

Calculating the eccentricity first.

Color

Direction sheets

Foci

Intercepts

There are no x-intercepts.

Set both x and y to zero.

Set x to zero and solve for y.

Set y to zero and solve for x.

They help in drawing vertical tangents.

They are used to calculate eccentricity.

They are irrelevant to the sketch.

They determine the color of the hyperbola.

It affects the color of the graph.

It ensures the hyperbola approaches the asymptotes correctly.

It determines the size of the hyperbola.

It is not important.

The hyperbola has no real solutions.

The hyperbola is a circle.

The degree of deviation from being circular.

The hyperbola is a line.

One

Root two

Zero

Infinity