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In the [tex]\( xy \)[/tex]-coordinate plane, if the point [tex]\((-3, 5)\)[/tex] is shifted 4 units to the right and 3 units down, what will be the new coordinates of the point?

A. [tex]\((-7, 8)\)[/tex]
B. [tex]\((-7, 2)\)[/tex]
C. [tex]\((-6, 9)\)[/tex]
D. [tex]\((1, 2)\)[/tex]
E. [tex]\((1, 8)\)[/tex]

Sagot :

GinnyAnswer
To determine the new coordinates when the point [tex]\((-3, 5)\)[/tex] is shifted 4 units to the right and 3 units down, follow these steps:

1. Horizontal Shift:
- Shifting a point to the right means adding to the [tex]\(x\)[/tex]-coordinate.
- The original [tex]\(x\)[/tex]-coordinate is [tex]\(-3\)[/tex].
- Adding 4 units to [tex]\(-3\)[/tex] gives:
[tex]\[ -3 + 4 = 1 \][/tex]

2. Vertical Shift:
- Shifting a point downward means subtracting from the [tex]\(y\)[/tex]-coordinate.
- The original [tex]\(y\)[/tex]-coordinate is [tex]\(5\)[/tex].
- Subtracting 3 units from [tex]\(5\)[/tex] gives:
[tex]\[ 5 - 3 = 2 \][/tex]

Thus, the new coordinates of the point after the transformation are [tex]\((1, 2)\)[/tex].

Therefore, the correct answer is:
D [tex]\((1, 2)\)[/tex]
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