Question

which of these transformation rules transforms a from (-4,7) to a(-7,8)? (1 point) (x,y)→(x - 3,y + 1) (x,y)→(2x,2y) (x,y)→(x + 1,y + 1)

Explanation:

Step1: Test the first transformation rule

For the rule $(x,y)\to(x - 3,y + 1)$, substitute $x=-4$ and $y = 7$.
$x-3=-4-3=-7$
$y + 1=7+1=8$
The point $(-4,7)$ is transformed to $(-7,8)$ using this rule.

Step2: Test the second transformation rule

For the rule $(x,y)\to(2x,2y)$, substitute $x=-4$ and $y = 7$.
$2x=2\times(-4)=-8$
$2y=2\times7 = 14$
The point $(-4,7)$ is transformed to $(-8,14)$ not $(-7,8)$.

Step3: Test the third transformation rule

For the rule $(x,y)\to(x + 1,y + 1)$, substitute $x=-4$ and $y = 7$.
$x+1=-4 + 1=-3$
$y+1=7+1=8$
The point $(-4,7)$ is transformed to $(-3,8)$ not $(-7,8)$.

Answer:

$(x,y)\to(x - 3,y + 1)$