Question

write the coordinates of the vertices after a translation 1 unit up.

r(□, □)
s(□, □)
t(□, □)

Explanation:

Step1: Find original coordinates

First, identify the original coordinates of \( R \), \( S \), and \( T \) from the graph.

• \( R \) is at \( (1, -7) \) (since it's 1 unit right on x - axis and 7 units down on y - axis)
• \( S \) is at \( (2, -7) \) (2 units right on x - axis and 7 units down on y - axis)
• \( T \) is at \( (0, -4) \) (0 units on x - axis and 4 units down on y - axis)

Step2: Apply translation (1 unit up)

A translation of 1 unit up means we add 1 to the y - coordinate of each point (since the y - coordinate determines the vertical position). The rule for a translation of \( (x,y)\to(x,y + 1) \) when moving 1 unit up.

• For \( R(1,-7) \): New y - coordinate is \( - 7+1=-6 \), so \( R'=(1, - 6) \)
• For \( S(2,-7) \): New y - coordinate is \( -7 + 1=-6 \), so \( S'=(2, - 6) \)
• For \( T(0,-4) \): New y - coordinate is \( -4+1=-3 \), so \( T'=(0, - 3) \)

Answer:

\( R'(1, - 6) \)
\( S'(2, - 6) \)
\( T'(0, - 3) \)