Question

answer attempt 1 out of 2
coordinates of h: ( )
coordinates of h: ( )
when a point is reflected over the x - axis, the changes sign.

Explanation:

Step1: Identify coordinates of H

To find the coordinates of point H on the graph, we look at its position relative to the x - and y - axes. The x - coordinate is the horizontal distance from the y - axis and the y - coordinate is the vertical distance from the x - axis. Point H is 2 units to the right of the y - axis and 1 unit below the x - axis. So the coordinates of H are $(2,-1)$.

Step2: Reflect H over x - axis

When a point $(x,y)$ is reflected over the x - axis, the x - coordinate remains the same and the y - coordinate changes sign. For point H$(2,-1)$, when reflected over the x - axis, the new point H' has coordinates $(2,1)$.

Step3: Determine the changing value

When a point is reflected over the x - axis, the y - coordinate changes sign.

Answer:

Coordinates of H: $(2,-1)$
Coordinates of H': $(2,1)$
When a point is reflected over the x - axis, the y - coordinate changes sign.