There are two fruit trees located at (3,0) and (−3, 0) in the backyard plan. maurice wants to use these two fruit trees as the focal points for an elliptical flowerbed. johanna wants to use these two fruit trees as the focal points for some hyperbolic flowerbeds. create the location of two vertices on the y-axis. show your work creating the equations for both the horizontal ellipse and the horizontal hyperbola. include the graph of both equations and the focal points on the same coordinate plane.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

the answer is c

hope this !