Graphs 2
Study the graph below (not drawn to scale) and answer the questions that follow.
1. Determine the equation of the hyperbola.
2. What will be the equation of the graph, if it is shifted vertically by 3 units.
3. How will the equation change if the asymptote is now defined by x = 4.
SOLUTION
1. Determine the equation of the hyperbola.
This graph (hyperbola) has the form:
Substitute as follows:
Solve for "a" by substituting the point (2;4)
Therefore equation of the hyperbola is:
2.What will be the equation of the graph, if it is shifted vertically by 3 units?
This means that only the value of q will be affected. We must add 3 to the q value which is 5.
Our answer is given by:
3. How will the equation change if the asymptote is now defined by x = 4?
This involves horizontal movement of the graph.
