Question
Vertical & Horizontal Translations Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
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Question
Use the image to answer the question.
A coordinate plane with four quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. A triangle is formed by joining three points A B C. The coordinates of the plotted points of the triangle are as follows: Vertex A is left parenthesis 0 comma 0 right parenthesis, vertex B is left parenthesis 6 comma 4 right parenthesis, and vertex C is left parenthesis 9 comma 0 right parenthesis.
If the given triangle ABC
is translated 8 units down, what are the coordinates of point B′
?
(1 point)
(
)
Answers
GPT-4o mini
To find the new coordinates of point B′ after translating point B downward by 8 units, you need to adjust the y-coordinate of point B.
The original coordinates of point B are \( (6, 4) \).
When translating 8 units down, you subtract 8 from the y-coordinate:
\[
y' = 4 - 8 = -4
\]
Thus, the new coordinates of point B′ are:
\[
B' = (6, -4)
\]
So, the coordinates of point B′ are \( (6, -4) \).
The original coordinates of point B are \( (6, 4) \).
When translating 8 units down, you subtract 8 from the y-coordinate:
\[
y' = 4 - 8 = -4
\]
Thus, the new coordinates of point B′ are:
\[
B' = (6, -4)
\]
So, the coordinates of point B′ are \( (6, -4) \).