Question

the transformation matrix to shift the center of the circle(x-3)^2+(y+5)^2=16 to the origin​

Answer 1

Given: (x-3)^2+(y+5)^2=16

To find: We have to find the transformation matrix to shift the center of the circle(x-3)^2+(y+5)^2=16 to the origin.

Solution:

This is the form of a circle. Use this form to discover the center and radius of the circle.

(x-h)^2 + (y-k)^2 = r^2

Match the values in this circle to those of the usual standard form. The variable r denotes the radius of the circle, h denotes the x-offset from the origin, and k denotes the y-offset from the origin.

r = 4

h = 3

k = 5

The center of the circle is discovered at ( h, k ).

Center: (3, 5)

These values express the important values for graphing and analyzing a circle.

Center: ( 3, 5 )

Radius : 4

So, the final answer is 4.