Why do you need absolute values when you write expressions for the lengths
of the legs, but not when you write the relationship in terms of the
Pythagorean Theorem?

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.

(2,6)

step-by-step explanation:

cause i just did this and got the answer

you're welcome