Which of the following equations might have the graph shown?

we will select each options and then we verify it

(a)

we can see that circle is in first quadrant

so, it's center coordinates must be positive

both h and k should be positive

Here , h=2 but k=-3

so, this is FALSE

(B)

we can see that circle is in first quadrant

so, it's center coordinates must be positive

both h and k should be positive

Here , h=3 and k=4

so, this is TRUE

(C)

we can see that circle is in first quadrant

so, it's center coordinates must be positive

both h and k should be positive

Here , h=-3 and k=-4

so, this is FALSE

(D)

we can see that circle is in first quadrant

so, it's center coordinates must be positive

both h and k should be positive

Here , h=5 and k=5

so, this is TRUE

(E)

we can see that circle is in first quadrant

so, it's center coordinates must be positive

both h and k should be positive

Here , we have all terms positive

so, h and k must be negative here

so, this is FALSE

(E)

we can see that circle is in first quadrant

so, it's center coordinates must be positive

both h and k should be positive

Here , we have -4x and -6y

which will have h and k positive

so, this is TRUE