For each value of kk specified in parts (a)–(e), plot the set of points in the plane that satisfy the equation
x2 − y2 = k.
a. k = 4
b. k = 1
c. k = 1 / 4
d. k = 0
e. k = − 1 / 4
f. k = −1
g. k = −4
h. describe the hyperbolas x2 − y2 = k for different values of k. consider both positive and negative values of
kk, and consider values of k close to zero and far from zero.
i. are there any values of k so that the equation x2 − y2 = k has no solution?