Answer:
The correct option is;
d. Reflecting about the line y = -1, followed by translating 8 units to the right
Step-by-step explanation:
The coordinates of the vertices of the banner Jane created = A(-4, 3), B(-1, 5) and C(-1, 2)
By reflecting across the line y = -1, we get
A(-4, 3) by reflection across the line y = -1 gives A(-4, -5)
B(-1, 5) by reflection across the line y = -1 gives B(-1, -7)
C(-1, 2) by reflection across the line y = -1 gives C(-1, -4)
By translating 8 units to the right get
A(-4, 3) by translation 8 units right gives A prime (4, -5)
B(-1, 5) by translation 8 units right gives B prime (7, -7)
C(-1, 2) by translation 8 units right gives C prime (7, -4)
Therefore, the two transformation that she could perform so that the transformed vertices become A prime (4, -5), B prime (7, -7), and C prime (7, -4) are;
1) Reflection across the line y = -1
2) An horizontal translation 8 units to the right get.