The image of point (-3,5) when reflected in the y-axis is:
A.(5,-3) B.(5,-3) C.(-3,5) D.(3,5)
Hint: the Y value will be the same and the X value will change signs.
Here is a neat visual that will help you to understand reflections.
Take a sheet of graph paper, draw the x and y axes and plot the point (-3,5)
For a reflection in the y-axis, fold your paper along the y-axis and with a pin punch a hole at (-3,5).
Note the second hole in the paper, it will be the reflection in the y-axis
For reflections in the x-axis, fold along the x-axis
For reflections in lines such as y = 3x - 4, draw the line y=3x = 4 then fold it along that line, etc
D
the symbol will change for -3, as it's being reflected across the y axis, but the 5 will stay the same
The image of point (-3,5) when reflected in the y-axis will have the same y-coordinate and an opposite x-coordinate.
Therefore, the correct answer is A. (5,-3). The point (-3,5) will be reflected to (3,5) when reflected in the y-axis.
To answer this question, we need to understand what happens in a reflection across the y-axis.
The y-axis is the vertical line that goes through the origin (0,0) and is perpendicular to the x-axis. When we reflect a point across the y-axis, we imagine folding the coordinate plane along the y-axis and swapping the x and y coordinates.
In this case, we have the point (-3,5). To find its reflection across the y-axis, we swap the x and y coordinates.
So, the x-coordinate of the reflected point will be the opposite of -3, which is 3. And the y-coordinate remains the same, which is 5.
Therefore, the image of the point (-3,5) when reflected in the y-axis is (3,5).
So, the correct option is D. (3,5).