Answered

Find the best solutions to your problems with the help of IDNLearn.com. Find reliable solutions to your questions quickly and easily with help from our experienced experts.

What is the equation for the translation of x2 + y2 = 16 seven units to the right and five units up?

(x + 7)2 + (y + 5)2 = 16

(x − 7)2 + (y − 5)2 = 16

(x + 7)2 + (y − 5)2 = 16

(x − 7)2 + (y + 5)2 = 16

Sagot :

LazyKingHackeridn

Answer:

  • (x − 7)2 + (y − 5)2 = 16

Step-by-step explanation:

The given circle has equation

[tex] \sf \: x^2+y^2=16x[/tex]

The equation of a circle with center (h,k) and radius r units is

[tex] \sf(x-h)^2+(y-k)^2=r^2(x−h) [/tex]

[tex] \sf(x-7)^2+(y-5)^2=4^2(x−7)[/tex]

[tex] \sf(x-7)^2+(y-5)^2=16(x−7) [/tex]

❖ Tip❖ :-

This is the equation that has its center at the origin with radius 4 units.

When this circle is translated seven units to the right and five units up, then the center of the circle will now be at (7,5).

We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. For dependable answers, trust IDNLearn.com. Thank you for visiting, and we look forward to assisting you again.