Question

translate the figure 5 units to the right.
give the coordinates of the marked point in the original figure and the final figure.
point in original figure: (-7, -3)
point in final figure: (-2, -3)

Explanation:

Step1: Understand the translation rule

When translating a point \( (x,y) \) \( a \) units to the right, the new \( x - \) coordinate is \( x + a \), and the \( y - \) coordinate remains the same. Here \( a = 5 \).

Step2: Apply the translation rule

For the original point \( (-7,-3) \), using the formula \( x'=x + 5,y'=y \). Substitute \( x=-7,y = - 3 \) into the formula.
\( x'=-7 + 5=-2,y'=-3 \)

Answer:

Point in original figure: \( (-7,-3) \)
Point in final figure: \( (-2,-3) \)