The graph of the equation xy = -8 is?

Question

1. an ellipse
2. a hyperbola
3. a circle
4. a parabola

Answer 1

Hyperbola

Answer 2

xy = -8 Now we in fact want y to be on my own for known graphing. so we are in a position to divide by skill of x and get: xy = -8 will become >> y = (-8) / (x) Now any graph with x in the denominator has a "vertical asymptote" all of us know it truly isn't any longer possible to divide by skill of 0, for this reason if x is desperate to 0 in the equation we haven't any answer. THe vertical asymptote is a line at this component (0) if x = -.0000.....a million, y = +infinity if x = +.0000.....a million, y = -infinity yet whilst we make x = -a million we get 8 for an answer [-8 / /-a million] If we make x = +a million we get -8 for an answer [ -8 / a million] WIth the vertical asymptote being 0 and using those 2 attempt factors, all of us understand the graph occupies the 2nd and 4th quadrant of the coordinate plane. (-a million, 8) and (a million, -8). You in fact might desire to entice 2 curves one sloping from the component (-infinity, 0) to (0, +infinity) to occupy the 2nd quadrant and yet another curve from (+infinty, 0) to (0, -infinity) to occupy the fourth quadrant. that may be useful you, you need to use different attempt factors... you have already got (a million, -8) and (-a million, 8) [be conscious they are going to constantly be opposites) you need to use different poits like (2, -4) and (-4, 2) additionally (4, -2) and (-4, 2) to assist shape the two contemplated curves.

Answer 3

y = -8 / x

the relationship between x and y is inverse, therefore, the graph is a hyperbola

Answer 4

xy = -8 is

3. a circle

Answer 5

y = - 8/x is a hyperbola.
ANSWER 2 is correct.

Answer 6

parabola. not sure though.