Question
Vertical & Horizontal Translations Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
1 of 51 of 5 Items
Question
A triangle with a vertex (−3, 5)
is translated up 6 units. What are the coordinates of this vertex after it is translated? Draw a graph if necessary.(1 point)
Complete this assessment to review what you've learned. It will not count toward your grade.
1 of 51 of 5 Items
Question
A triangle with a vertex (−3, 5)
is translated up 6 units. What are the coordinates of this vertex after it is translated? Draw a graph if necessary.(1 point)
Answers
GPT-4o mini
To translate the vertex of the triangle (−3, 5) up 6 units, you only need to add 6 to the y-coordinate:
\[
y_{\text{new}} = y_{\text{old}} + 6
\]
So:
\[
y_{\text{new}} = 5 + 6 = 11
\]
The x-coordinate remains the same:
\[
x_{\text{new}} = -3
\]
Therefore, after the translation, the new coordinates of the vertex will be:
\[
(-3, 11)
\]
So, the coordinates of the vertex after it is translated up 6 units are \((-3, 11)\).
\[
y_{\text{new}} = y_{\text{old}} + 6
\]
So:
\[
y_{\text{new}} = 5 + 6 = 11
\]
The x-coordinate remains the same:
\[
x_{\text{new}} = -3
\]
Therefore, after the translation, the new coordinates of the vertex will be:
\[
(-3, 11)
\]
So, the coordinates of the vertex after it is translated up 6 units are \((-3, 11)\).