Answer:
Step-by-step explanation:
This is because you use Pythagorean theorem. a^2 + b^2 = c^2.
Answer:
The rational function that might have the given graph is .
Step-by-step explanation:
This graph shows a rational function whose numerator is a first order polynomial and denominator is a second order, due to the presence of vertical asymptotes at and . The lead coefficient of the numerator must be 1, since horizontal asymptote must be and intercept must be , since .
Then, we conclude that a rational function that might have the graph is:
(1)
We present the proof that given function is appropriate.
Answer:
Step-by-step explanation:
x²/a² - y²/b² = 1
center (0,0)
vertex (3,0), so a = 3
focus (9,0)
e = 9/a = 3
directrices: x = ±a/e = ±1