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) | ?
g(-2,1) | f(1,4)
h(-4,3) | f(-1,4)
| f(4,1)
| f(-4,1)

Explanation:

Step1: Identify transformation rule

From $E(-3,4)\to E'(3,4)$, the transformation is $(x,y)\to (-x,y)$ (reflection over y-axis).

Step2: Apply rule to $F(-1,4)$

Substitute $x=-1, y=4$ into $(x,y)\to (-x,y)$: $-(-1)=1$, $y$ stays 4.

Answer:

$F'(1,4)$