# Vertices, asymptotes for hyperbola using GC

For H2 A level mathematics, JC students seems to have difficulty in memorising the equations of asymptotes. However the GC can calculate them for you (in a way).

Step 1: Go to APPS –> CONICS –> HYPERBOLA

Suppose we want to sketch the graph $\displaystyle \frac{{{\left( x-1 \right)}^{2}}}{{{2}^{2}}}-\frac{{{(y-2)}^{2}}}{3}=1$

Step 2: DO NOT PRESS GRAPH. Instead press “ALPHA” + “ENTER”

The “CENTER” is where the asymptotes intersect and the “SLOPE” is the gradient for each asymptote. By using basic concept of straight line, the asymptotes are $\displaystyle y-2=\pm 1.5(x-1)$.

If the questions are set such that the values are not “nice”, e.g. including surds then the G.C will be unable to give the values in exact form.