Question

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

Explanation:

Step1: Identify transformation rule

From the graph, observe that each point is reflected over the x-axis. The rule for reflecting a point $(x,y)$ over the x-axis is $(x, -y)$.

Step2: Calculate $E'$

Apply rule to $E(-3,4)$:
$E' = (-3, -4)$

Step3: Calculate $F'$

Apply rule to $F(-1,4)$:
$F' = (-1, -4)$

Step4: Calculate $G'$

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

Step5: Calculate $H'$

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

Answer:

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