Porisma

A hint to get started

Two horizontal hyperbolas: algebra and calculator checks

Sketch the hyperbolas:

(a) x24−y2=1\dfrac{x^2}{4}-y^2=1,

(b) (x+4)29−(y−2)216=1\dfrac{(x+4)^2}{9}-\dfrac{(y-2)^2}{16}=1,

and state the line(s) of symmetry.

CJC · Lecture · Example 5

Read the centre and horizontal vertex distance from the positive x-square term. Make both asymptotes pass through the centre.

Read the worked solution