Question

has a point marked with a large dot.
the figure 5 units to the right.
ordinates of the marked point in the original figure and the final figure.
point in original figure:
point in final figure:

Explanation:

Step1: Find original coordinates

The original point is at \((-7,-8)\) (by looking at its position on the \(x\)-axis and \(y\)-axis in the original figure).

Step2: Apply horizontal translation

When moving a point \(5\) units to the right, we add \(5\) to the \(x\)-coordinate. The formula for horizontal translation is \((x,y)\to(x + 5,y)\). For the point \((-7,-8)\), the new \(x\)-coordinate is \(-7+5=-2\), and the \(y\)-coordinate remains \(-8\).

Answer:

Point in original figure: \((-7,-8)\)
Point in final figure: \((-2,-8)\)