The Y axis is the vertical access, in other words the one that goes up and down. The X access is horizontal and so it goes across a chart. The Y axis is sometimes known as the value axis.
In transformations a reflection across the x axis produces a mirror image
The x-axis runs horizontally across the graph and the y-axis runs vertically on it.
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).
The reflection of a point ( P ) across an axis (such as the x-axis or y-axis) results in a new point ( P' ) that is equidistant from the axis but on the opposite side. For example, if ( P ) is at coordinates ( (x, y) ), its reflection across the x-axis would be ( P' ) at ( (x, -y) ). The distance between ( P ) and the axis remains the same, ensuring that the two points are symmetrical with respect to that axis.
To flip a figure across the x-axis, you need to take each point of the figure and change its y-coordinate to its opposite sign. For example, if a point is at (x, y), after flipping it across the x-axis, it will be at (x, -y). This transformation effectively mirrors the figure over the x-axis, resulting in a new position below the original figure.
In transformations a reflection across the x axis produces a mirror image
The x-axis runs horizontally across the graph and the y-axis runs vertically on it.
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).
y = -f(x) is a reflection of y = f(x) in the x axis.
X axis is across and Y axis is down
On a graph the x axis is the one going across the screen, the horizontal axis, and the y axis is going up or down, the vertical axis. A very simple way of remember is to think that the letter x looks like a cross. The letter x is a cross, and the x axis goes across the screen.
The reflection of a point ( P ) across an axis (such as the x-axis or y-axis) results in a new point ( P' ) that is equidistant from the axis but on the opposite side. For example, if ( P ) is at coordinates ( (x, y) ), its reflection across the x-axis would be ( P' ) at ( (x, -y) ). The distance between ( P ) and the axis remains the same, ensuring that the two points are symmetrical with respect to that axis.
To flip a figure across the x-axis, you need to take each point of the figure and change its y-coordinate to its opposite sign. For example, if a point is at (x, y), after flipping it across the x-axis, it will be at (x, -y). This transformation effectively mirrors the figure over the x-axis, resulting in a new position below the original figure.
For a reflection across the x axis, both the slope and the y intercept would have the same magnitude but the opposite sign.
Y axis going up; and X axis going across.
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)
Reflection across the y-axis changes the sign of the x - coordinate only, that is, (x, y) becomes (-x, y).