QUESTION IMAGE
Question
graph the image of △uvw after a translation 12 units left and 2 units down.
Step1: Find coordinates of U, V, W
From the graph:
- \( U(2, 3) \) (since it's 2 units right on x - axis, 3 units up on y - axis)
- \( V(5, 3) \) (5 units right on x - axis, 3 units up on y - axis)
- \( W(2, 9) \) (2 units right on x - axis, 9 units up on y - axis)
Step2: Apply translation (left 12, down 2)
Translation rule: \((x,y)\to(x - 12,y - 2)\)
- For \( U(2, 3) \):
New \( x = 2-12=-10 \), New \( y = 3 - 2 = 1 \). So \( U'(-10,1) \)
- For \( V(5, 3) \):
New \( x = 5-12=-7 \), New \( y = 3 - 2 = 1 \). So \( V'(-7,1) \)
- For \( W(2, 9) \):
New \( x = 2-12=-10 \), New \( y = 9 - 2 = 7 \). So \( W'(-10,7) \)
Step3: Plot the new points
Plot \( U'(-10,1) \), \( V'(-7,1) \), \( W'(-10,7) \) and connect them to form the translated triangle.
(Note: Since the final answer here is the graph of the translated triangle with vertices at \( U'(-10,1) \), \( V'(-7,1) \), \( W'(-10,7) \), the step - by - step shows how to find the new coordinates for plotting.)
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Step1: Find coordinates of U, V, W
From the graph:
- \( U(2, 3) \) (since it's 2 units right on x - axis, 3 units up on y - axis)
- \( V(5, 3) \) (5 units right on x - axis, 3 units up on y - axis)
- \( W(2, 9) \) (2 units right on x - axis, 9 units up on y - axis)
Step2: Apply translation (left 12, down 2)
Translation rule: \((x,y)\to(x - 12,y - 2)\)
- For \( U(2, 3) \):
New \( x = 2-12=-10 \), New \( y = 3 - 2 = 1 \). So \( U'(-10,1) \)
- For \( V(5, 3) \):
New \( x = 5-12=-7 \), New \( y = 3 - 2 = 1 \). So \( V'(-7,1) \)
- For \( W(2, 9) \):
New \( x = 2-12=-10 \), New \( y = 9 - 2 = 7 \). So \( W'(-10,7) \)
Step3: Plot the new points
Plot \( U'(-10,1) \), \( V'(-7,1) \), \( W'(-10,7) \) and connect them to form the translated triangle.
(Note: Since the final answer here is the graph of the translated triangle with vertices at \( U'(-10,1) \), \( V'(-7,1) \), \( W'(-10,7) \), the step - by - step shows how to find the new coordinates for plotting.)