Answer:
A) up 5 units
Step-by-step explanation:
Given
See attachment for grid
Required
Which places ABCD in a quadrant
Considering vertical movements
From the x-axis, the distance between each point and the line of the x-axis is (the y coordinates):
[tex]A = -4[/tex]
[tex]B =3[/tex]
[tex]C = 7[/tex]
[tex]D = -2[/tex]
Considering the highest magnitudes in the positive and negative column, we have:
[tex]A = -4[/tex] and [tex]C = 7[/tex]
[tex]A = -4[/tex] means that a upward movement by (4 + 1) units will move ABCD completely in a quadrant;
[tex]4 + 1 = 5[/tex]
Hence, 5 units upward -- This represents option (a)
[tex]C = 7[/tex] means that a downward movement by (7 + 1) units will move ABCD completely in a quadrant
[tex]7 + 1 = 8[/tex]
Hence, 8 units downward
Consider horizontal movements
From the y-axis, the distance between each point and the line of the x-axis is (the x coordinates):
[tex]A = -8[/tex]
[tex]B = -6[/tex]
[tex]C = -3[/tex]
[tex]D =-2[/tex]
Considering the highest magnitudes in the positive and negative column, we have:
[tex]A = -8[/tex]
[tex]A = -8[/tex] means that a left movement by (8 + 1) units will move ABCD completely in a quadrant;
[tex]8 +1 = 9[/tex]
Hence, 9 units upward
(a) answers the question
