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3 years ago

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give the equation for the new circle obtained by translating the circle (x-2)^2+(y+4)^2=36 by 6 units to the right and 4 units u

p explain and show your work please

1 answer:

Neko [114]3 years ago

5 0

Answer:

equation for the new circle is;

(x - 8)² + y² = 36

Step-by-step explanation:

There are two types of translations and they are translation horizontally and vertically. Combining both of them in the context of this question, to translate a circle 6 units to the right and 4 units up, we take our equation,

(x - 2)² + (y + 4)² = 36 and subtract 6 from the x - term and 4 from the y - term to get the equation of the new circle.

This gives us;

(x - 2 - 6)² + (y + 4 - 4)² = 36

This gives;

(x - 8)² + y² = 36

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$\begin{gathered}{\Large{\textsf{\textbf{\underline{\underline\color{brown}{Given:}}}}}}\end{gathered}$

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