Question

1. what is the ordered pair for the final location of p(-7,3) after this transformation? (x,y)→(x,y + 3)

a p(-7,6)
b p(7,6)
c p(4,-1)
d p(7,0)

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

a p(4,7)
b p(-4,7)
c p(4,-1)
d p(6,-7)

Explanation:

Step1: Identify the transformation rule

The transformation rule is \((x,y)\to(x,y + 3)\).

Step2: Apply the transformation to the given point

We have the point \(P(-7,3)\). For the \(x\) - coordinate, it remains the same (\(x=-7\)). For the \(y\) - coordinate, we use the rule \(y'=y + 3\). Substitute \(y = 3\) into \(y'=y + 3\), we get \(y'=3+3=6\).

Answer:

\((-7,6)\)