Question

1. what is the ordered pair for the final location of p(2, 3) after this transformation? (x,y)→(x + 2,y - 4)

p(4, - 1)
p(4,7)
p(0,1)
p(-4,7)

Explanation:

Step1: Identify the transformation rule

The transformation rule is $(x,y)\to(x + 2,y - 4)$.

Step2: Apply the rule to the x - coordinate of P

Given $x = 2$ for point $P(2,3)$. Using the transformation for the x - coordinate $x'=x + 2$, we substitute $x = 2$ into it: $x'=2+2=4$.

Step3: Apply the rule to the y - coordinate of P

Given $y = 3$ for point $P(2,3)$. Using the transformation for the y - coordinate $y'=y - 4$, we substitute $y = 3$ into it: $y'=3 - 4=-1$.

Answer:

$(4,-1)$