Answer:
The graph of the segments connecting the points in the attached figure
The resulting letter is Z
Step-by-step explanation:
Part 1)
Let
A(3,-5)
Part 2) Reflect the point A across the y-axis
we know that
The rule of the reflection across the y-axis is equal to
(x,y) ----> (-x,y)
Apply the rule of the reflection across y-axis to point A to obtain point B
A(3,-5) ----> B(-3,-5)
Part 3) Translate the point B right 6 and up 7.
The rule of the given translation is equal to
(x,y) ----> (x+6,y+7)
Apply the rule of the translation to point B to obtain point C
B(-3,-5) -----> C(-3+6,-5+7)
B(-3,-5) -----> C(3,2)
Part 4) Reflect the point C across the y-axis
we know that
The rule of the reflection across the y-axis is equal to
(x,y) ----> (-x,y)
Apply the rule of the reflection across y-axis to point C to obtain point D
C(3,2) -----> D(-3,2)
Part 5) Draw segments to connect the points in the order you plotted them
using a graphing tool
see the attached figure
therefore
The resulting letter is Z