Question: Consider the hyperbola graphed at right. a. Write the equations of the asymptotes for this hyperbola. b. Write the general quadratic equation for this hyperbola.

Consider the hyperbola graphed at right.
a. Write the equations of the asymptotes for this hyperbola.
b. Write the general quadratic equation for this hyperbola.
c. Write an equation that will give the vertical distance, d, between the asymptote with positive slope and a point on the upper portion of the right branch of the hyperbola as a function of the point's x-coordinate, x.
d. Use the function from 3c to fill in this table. What does this tell you about the relationship between the function and its asymptote?

x 210 20 100

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