To reflect a point across the x-axis, you simply change the sign of its y-coordinate while keeping the x-coordinate the same. For example, if the original point is (x, y), the reflected point will be (x, -y). This transformation flips the point vertically over the x-axis.
When you reflect a figure across the x-axis, the x-coordinates of the points remain the same, while the y-coordinates change sign. This means that if a point is at (x, y), its reflection across the x-axis will be at (x, -y).
To reflect a figure across the x-axis, you take each point of the figure and change its y-coordinate to its negative value while keeping the x-coordinate the same. For example, if a point is located at (x, y), its reflection across the x-axis will be at (x, -y). This process effectively flips the figure over the x-axis, creating a mirror image.
Replace x by -x.
f(x) = x + 1, to reflect this across the y-axis you need to reverse all the x values. Essentially, what this means is that, you rewrite f(x) as f(-x) making the function, -x + 1.
To reflect the graph of ( f(x) = x - 1 ) across the y-axis, you replace ( x ) with ( -x ), resulting in the equation ( f(-x) = -x - 1 ). To translate this graph 4 units down, you subtract 4 from the entire function, giving you ( f(-x) - 4 = -x - 1 - 4 = -x - 5 ). Thus, the final transformed function is ( f(-x) - 4 = -x - 5 ).
When you reflect a figure across the x-axis, the x-coordinates of the points remain the same, while the y-coordinates change sign. This means that if a point is at (x, y), its reflection across the x-axis will be at (x, -y).
Since the x coordinate will change, but not the y coordinate, take (x,y) and reflect across the y axis and you have (-x,y)
Replace each point with coordinates (x, y) by (-x, y).
Replace x by -x.
reflect across the x-axis and then reflect again over the x-axis
f(x) = x + 1, to reflect this across the y-axis you need to reverse all the x values. Essentially, what this means is that, you rewrite f(x) as f(-x) making the function, -x + 1.
If a function reflects along the x-axis, that indicates that it has both negative and positive solutions. For example, y = x2 reflects along the x-axis because x2 = -x2. In general, a function will reflect along the x-axis if f(x) = f(-x).
If it is Rx=0, it means you are reflecting your set of coordinates and reflect it across the x-axis when x=0. So it pretty much is saying reflect it over the y-axi
reflect across the y-axis
The bit with the negative x-axis goes to the positive x-axis.
no
The reflection of a point across the y-axis involves changing the sign of the x-coordinate while keeping the y-coordinate the same. In this case, the point (-1, -5) will reflect to (1, -5) across the y-axis. This is because the x-coordinate changes from -1 to 1, while the y-coordinate remains -5.