Answer:
The y-coordinate of the original point is negative and the y-coordiinate of the new point is positive.
The transformation is:
[tex](-7.5, 6)[/tex] → [tex](-7.5, -6)[/tex]
Step-by-step explanation:
For this exercise it is important to remember the definition of "Reflection".
A Reflection is a transformation that consists in folding an figure over a line called "Line of reflection",
In tranformations, the original figure is called "Pre-image" and the figure obtained after the transdformation is called "Image".
Given a point [tex](x,y)[/tex], if this is reflected across the x-axis, the x-coordinate of the point does not change, but the sign of the y-coordinate is transformed into its opposite. Then:
[tex](x,y)[/tex] → [tex](x,-y)[/tex]
So, given the new point:
[tex](-7.5, 6)[/tex]
You can determine that the original point is:
[tex](-7.5, -6)[/tex]
