Question

problem 4 determine the coordinates of each point after the shaded pre - image is reflected over the x - axis. use the graph if it helps with your thinking. pre - image coordinates image coordinates (-2,0) (-2,2) (-1,3) (1,3) (0,1)

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ over the $x - axis$, the rule is $(x,y)\to(x, - y)$.

Step2: Apply rule to $(-2,0)$

For the point $(-2,0)$, using the rule $(x,y)\to(x, - y)$, we get $(-2,0)\to(-2,0)$ since $-0 = 0$.

Step3: Apply rule to $(-2,2)$

For the point $(-2,2)$, $(x,y)\to(x, - y)$ gives $(-2,2)\to(-2,-2)$.

Step4: Apply rule to $(-1,3)$

For the point $(-1,3)$, $(x,y)\to(x, - y)$ gives $(-1,3)\to(-1,-3)$.

Step5: Apply rule to $(1,3)$

For the point $(1,3)$, $(x,y)\to(x, - y)$ gives $(1,3)\to(1,-3)$.

Step6: Apply rule to $(0,1)$

For the point $(0,1)$, $(x,y)\to(x, - y)$ gives $(0,1)\to(0,-1)$.

Answer:

Pre - image Coordinates	Image Coordinates
$(-2,2)$	$(-2,-2)$
$(-1,3)$	$(-1,-3)$
$(1,3)$	$(1,-3)$
$(0,1)$	$(0,-1)$