Question

Find the equation of the resulting curve after the following has been translated through
\[\left(\begin{matrix}2 \\ -1\end{matrix}\right)\]

\[y=x^2+4x+5\]

Answer 1

2 for y and -1 for x?

Answer 2

No... Um a=2 and b=-1.... Translation

Answer 3

but which of them represents vertical axis?

Answer 4

i mean which of them represents translation along the vertical axis and horizontal axis?

Answer 5

Um. well, 2 goes forward horizontally, and -1 goes down vertically in the transformation.

Answer 6

oh then maybe this
(x -2)^2 + 4(x-2) + 5 + -1

Answer 7

y = (x -2)^2 + 4(x-2) + 5 -1

Answer 8

That's what I thought... but the answer in my book said x^2 was the answer... so I didn't know..

Answer 9

OH, they just expanded it!

Answer 10

hmm y = x^2 + 4 -4x + 4x -8 + 4

oh okay

Answer 11

Thanks

Answer 12

no problem

Answer 13

2 and -1