Question

Graph the hyperbola
x²/4 - y²/1 = 1

Answer 1

The graph of the hyperbola can be seen in the image attached below.

The graph of an hyperbola.

A hyperbola is an example of a conic section that is defined simply as the set of every point in a coordinate plane in which the total difference between two fixed points, known as the foci, remains constant.

In the given hyperbola equation
`(x^2)/(4)-(y^2)/(1)=1`, the hyperbola shows an horizontal orientation. This is because the x^2 term is positive.

In addition to that, the vertices are (±2,0) and the asymptotes y = ± 1/2x) illustrates the lines that the equation approaches as it goes into infinity.