Reflect the point (-3,1) over the y axis. What is the new coordinate. Give explanation.
hay daddy
It's easy to mis-read problems. been there, done that. One reason why it's good that we check each other's work.
dont now what to do
First, try plotting (-3,1) on a graphing paper. You'll see it's in the 2nd Quadrant. When you reflect it on the y-axis, the new point will be on the third quadrant (where both x & y coordinates are negative). Therefore the new point is at (-3,-1).
Hope this helps~ :)
excuse me? reflection in the y-axis changes only the x-coordinate. Using the y-axis as an "axle" rotate the point 1/2 turn, to wind up at (3,1)
(x,y) -> (-x,y)
OMG I'm sorry I'm thinking about x-axis!
Sorry about that.
Hey
To reflect a point over the y-axis, we need to change the sign of the x-coordinate while keeping the y-coordinate the same.
In this case, we want to reflect the point (-3,1) over the y-axis. To do this, we change the sign of the x-coordinate, so -3 becomes 3. The y-coordinate remains the same, so 1 stays as 1.
Therefore, the new coordinate after reflecting the point (-3,1) over the y-axis is (3,1).
In summary, to reflect a point over the y-axis, we change the sign of the x-coordinate while keeping the y-coordinate the same.