Question

Write an equation for the translation of 9" alt="x^2+y^2=49" align="absmiddle" class="latex-formula"> by 2 units right and 3 units down.

Answer 1

Answer:

Hi myself Shrushtee.

Step-by-step explanation:

The equation of the translated circle is:

(x+7)2+(y+2)2=25 .

Explanation:

The standard form of a circle is

(x−h)2+(y−k)2=r2 ,

where r is the radius of the circle and

(h,k)

is the center of the circle.

In x2+y2

=25, the center is at

(0,0)

. When the circle is translated left 7 units, it means that the new center has

h=−7

. Translating the circle down 2 units means that the new center has

k=−2

So, the translated circle has the equation

(x+7)2+(y+2)2=25 .

Please mark me as brainleist.