Question

m(-3,7) p(2,6) n(0,4) -8 -4 4 8 x -4 -8 which set of coordinates models the image of the triangle after a translation where (x,y) → (x + 2,y - 9)? m(-5,16), n(-2,13), p(0,15) m(-1,-2), n(2,-5), p(4,-3) m(-5,-2), n(-2,-5), p(0,-3) m(-1,16), n(2,13), p(4,15)

Explanation:

Step1: Translate M(-3,7)

Using the translation rule \((x,y)\to(x + 2,y - 9)\), substitute \(x=-3\) and \(y = 7\).
\(x'=-3 + 2=-1\), \(y'=7-9=-2\). So \(M'(-1,-2)\).

Step2: Translate N(0,4)

Substitute \(x = 0\) and \(y = 4\) into the rule.
\(x'=0 + 2=2\), \(y'=4-9=-5\). So \(N'(2,-5)\).

Step3: Translate P(2,6)

Substitute \(x = 2\) and \(y = 6\) into the rule.
\(x'=2 + 2=4\), \(y'=6-9=-3\). So \(P'(4,-3)\).

Answer:

\(M'(-1,-2),N'(2,-5),P'(4,-3)\) (the second option)