same as if they were positive
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.
change the y value to -y, and bring the negative over the equal sign. example. y=2x^2 reflected on the x-axis looks like y=(2x^2)/-1 which is equal to y=-(2x^2)
To reflect a point or a shape over the y-axis, you change the sign of the x-coordinate while keeping the y-coordinate the same. For example, if a point is located at (x, y), its reflection over the y-axis will be at (-x, y). This process effectively flips the shape or point horizontally across the y-axis.
To determine the axis or line of reflection when a matrix is multiplied by the points of a figure, you need to analyze the matrix itself. For example, if the matrix is of the form (\begin{pmatrix} 1 & 0 \ 0 & -1 \end{pmatrix}), it reflects points over the x-axis. If it is (\begin{pmatrix} -1 & 0 \ 0 & 1 \end{pmatrix}), it reflects over the y-axis. Other matrices may correspond to reflections over lines, such as the line (y = x) or (y = -x), depending on their structure.
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.
The bit with the negative x-axis goes to the positive x-axis.
no
by looking and controling it
Reflecting a point over the x-axis involves changing the sign of the y-coordinate while keeping the x-coordinate the same. If a point is already located over the x-axis, its y-coordinate is positive. When reflecting this point over the x-axis, the positive y-coordinate becomes negative, resulting in the point being located below the x-axis.
reflect across the x-axis and then reflect again over the x-axis
You change the value of y to -y. ex: (4,5) reflected over the x-axis is (4,-5)
change the y value to -y, and bring the negative over the equal sign. example. y=2x^2 reflected on the x-axis looks like y=(2x^2)/-1 which is equal to y=-(2x^2)
When reflecting a point over the x-axis, you are essentially changing the sign of the y-coordinate while keeping the x-coordinate the same. So, if the original point has coordinates (x, -y), reflecting it over the x-axis would result in the new coordinates being (x, y). This transformation is a fundamental concept in geometry and can be applied to various shapes and figures to create mirror images across the x-axis.
x
count the spaces on your graph until you reach the y axis then start over and count again till you count the same number that you it took you to reach the y axis... sounds kinda confusing.... but good luck !
I dont really know if this is right but i think to do this problem you have to take a point then rotate the paper counter clockwise around the origin then you have a new point which is called a prime. Then reflect it over the y axis on the graph.
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.