Q:

Point (2, -4) is reflected across the x-axis. What arethe coordinates of its image?

Accepted Solution

A:
The coordinates of the image of point (2 , -4) after reflection acrossthe x-axis is (2 , 4)Step-by-step explanation:Let us revise the reflection of a point1. If point (x , y) reflected across the x-axis, then its image is (x , -y)2. If point (x , y) reflected across the y-axis, then its image is (-x , y)3. If point (x , y) reflected across the line y = x, then its image is (y , x)4. If point (x , y) reflected across the line y = -x, then its image is (-y , -x)∵ Point (2, -4) is reflected across the x-axis∵ Point (x , y) reflected across the x-axis, then its image is (x , -y)- Chang the sign of the y-coordinate of the point to find its image∵ The y-coordinate of the point is -4∴ The y-coordinate of the image is 4∴ The image of the point (2 , -4) is (2 , 4) after reflection across the    x-axisThe coordinates of the image of point (2 , -4) after reflection acrossthe x-axis is (2 , 4)Learn more:You can learn more about reflection in brainly.com/question/5017530#LearnwithBrainly