Circle A has center of (−2, 4) and a radius of 4, and circle B has a center of (3, 9) and a radius of 8. What steps will help show that circle A is similar to circle B?

Translation, 5 units to the right and 5 units up followed by  Dilation of scale factor 2

Step-by-step explanation:

The equation of any circle is (x - h)² + (y - k)² = r², where h and k are

Circle A has a center of (-2,4) and a radius of 4

∵ (h , k) is the center of the circle and r is its radius

∴ h = -2 and k = 4

∵ r = 4

∴ r² = 4² = 16

 Circle A is dilated by a scale factor of 2

Hope this helps.

picture below

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.