Question

Which of the following equations might have the graph shown?

Answer 1

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