what is an equation for the translation of (x-2)^2+(y+1)^2=16 by 3 units left and 5 units up

Question

reemii · Answer

the answer is of the type: $(x-2 - a)^2 + (y+1 -b)^2 = 16.$ The job is to find $a$ and $b$.

megannicole51 · Answer

okay:) so how do i do that?

reemii · Answer

I (almost) sure, when you have
* (x-a) (with a positive a) the thing moved to the right.
* (x+a) (with positive a) the thing moved to the left.
* (y-b) it's up
* (y+b) it's down.

reemii · Answer

move it to the left: write +3 in the first parenthesis.
similar thing in the second parenth.

reemii · Answer

(The same thing works for translating the graph of a function. f(x-a) : shift of a to the right)

megannicole51 · Answer

so it would be (x+1)^2 + (y-4)^2=16

reemii · Answer

what's your answer equation?

reemii · Answer

@megannicole51

megannicole51 · Answer

like what (a) (b) (c) and (d) are?

reemii · Answer

oh i didn't see your answer: "(x+1)^2 + (y-4)^2=16" yeah that's right.
what is (a) (b) (c) (d) ?

megannicole51 · Answer

the answer choices lol sorry i couldnt think of the word. and sweet:) thanks!

reemii · Answer

if u have another one it'll be my last..