Question

1. 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
(0, 1)
(1, 3)
(-1, 3)
(-2, 2)
(-2, 0)
image coordinates

1. point h(5, 3) is translated 4 units down and 3 units to the left.

Explanation:

Step1: Recall reflection rule over x - axis

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

Step2: Apply rule to each point

For point $(0,1)$: $(0,1)\to(0,- 1)$
For point $(1,3)$: $(1,3)\to(1,-3)$
For point $(-1,3)$: $(-1,3)\to(-1,-3)$
For point $(-2,2)$: $(-2,2)\to(-2,-2)$
For point $(-2,0)$: $(-2,0)\to(-2,0)$

Answer:

$(0,-1),(1,-3),(-1,-3),(-2,-2),(-2,0)$