Readers ask: What Does Y=X Mean In Geometry?

the line y = x is the point (y, x). The reflection of the point (x,y) across. the line y = -x is the point (-y, -x). Reflect over any line: Remember that each point of a reflected image is the same distance from the line of reflection as the corresponding point of the original figure.

What does Y x mean in transformations?

Reflection in y = x: When you reflect a point across the line y = x, the x-coordinate and the y-coordinate change places. or. Reflection in y = -x: When you reflect a point across the line y = -x, the x-coordinate and the y-coordinate change places and are negated (the signs are changed).

How do u reflect Y =- X?

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x).

What is the line y x?

The line y=x, when graphed on a graphing calculator, would appear as a straight line cutting through the origin with a slope of 1. When reflecting coordinate points of the pre-image over the line, the following notation can be used to determine the coordinate points of the image: ry=x=(y,x)

What is XY in math?

An x-y axis, also known as a cartesian coordinate system or a coordinate plane, is a two-dimensional plane of points defined uniquely by a pair of coordinates. The horizontal line, then, is known as the x axis and measures the distance left or right from the vertical line.

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What does 2f X do to a graph?

We can also stretch and shrink the graph of a function. To stretch or shrink the graph in the y direction, multiply or divide the output by a constant. 2f (x) is stretched in the y direction by a factor of 2, and f (x) is shrunk in the y direction by a factor of 2 (or stretched by a factor of ).

How do you reflect the X axis?

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the x-axis is (x, -y).

How do you reflect Y?

The rule for reflecting over the Y axis is to negate the value of the x-coordinate of each point, but leave the -value the same.

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