Graph the hyperbola #&\frac {\large x^2}{ \large \sf 4} - \frac {\large y^2}{\large \sf 1} = {\sf 1}.#&

✓ 1. What is the orientation of the transverse axis? horizontal vertical

✓ 2. Determine the values of a and b.
a = 1 2 4 b = 1 2 4

✓ 3. The center of the hyperbola is (0, 0) (2, 1) (4, 1) .

✓ 4. The vertices of a hyperbola with a horizontal transverse axis are
(−a, 0) and (a, 0). The vertices of this hyperbola are (−1, 0) (−2, 0) (−4, 0) and (1, 0) (2, 0) (4, 0) .

✓ 5. Calculate c using a² + b² = c².
Therefore, c² = 0 4 5 .

✓ 6. The foci of the hyperbola are #&(-\sqrt {\sf 5}, 0)#& and #&(\sqrt {\sf 5}, 0).#&

✓ 7. The directrices are #&x = \pm \frac {\large a^2}{\large c}#&, or #&x = \pm \frac {\large 4}{\sqrt {\large \sf 5}}#&.

✓ 8. The slope of the asymptotes is #&\pm \frac {\large b}{\large a}#&, or #&\pm#& 1/4 1/2 2 .

✓ 9. Press Continue to draw two smooth curves passing through each vertex and approaching each asymptote.