Question

complete the table to show the coordinates of figure efgh and its image.
figure efgh | figure efgh
e(-3,4) | e(3,4)
f(-1,4) | f(1,4)
g(-2,1) |?
h(-4,3) |?

Explanation:

Step1: Identify transformation rule

For $E(-3,4)\to E'(3,4)$ and $F(-1,4)\to F'(1,4)$, the $x$-coordinate is negated, $y$-coordinate stays: $(x,y)\to(-x,y)$

Step2: Apply rule to $G(-2,1)$

Substitute $x=-2, y=1$: $(-(-2),1)=(2,1)$

Step3: Apply rule to $H(-4,3)$

Substitute $x=-4, y=3$: $(-(-4),3)=(4,3)$

Answer:

Figure EFGH	Figure E'F'G'H'
$F(-1,4)$	$F'(1,4)$
$G(-2,1)$	$G'(2,1)$
$H(-4,3)$	$H'(4,3)$