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).
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How do you reflect shapes?
To reflect a shape we move the corners and then join them together at the end. The reflected shape image is the same size and shape as the original object.
What does it mean to reflect over Y =- 1?
the line y=1 is a horizontal line passing through all. points with a y-coordinate of 1. the point (3,10) reflected in this line. the x-coordinate remains in the same position.
What does it mean to reflect over Y 0?
We will discuss here about reflection of a point in the x-axis. Reflection in the line y = 0 i.e., in the x-axis. The line y = 0 means the x-axis. Let P be a point whose coordinates are (x, y).So, the y-coordinates of P’ will be – y while its x-coordinates will remain same as that of P.
How do you translate a shape?
In geometry translation means moving a shape into a different position, without changing it in any way. In Year 5 children are introduced to shape translation by giving them shapes on squared paper; they then need to be moved a certain number of squares up, down, left or right.
How do you reflect a shape over YX?
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).
When you reflect a shape you over an axis or line?
When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.
What happens when Y =- F X?
Y=-f of x flips the graph across the x axis.So you replace the x with minus x and that will reflect the graph across the y axis.
What are the 5 transformations?
These lessons help GCSE/IGCSE Maths students learn about different types of Transformation: Translation, Reflection, Rotation and Enlargement.
How do you do transformations?
The function translation / transformation rules:
- f (x) + b shifts the function b units upward.
- f (x) – b shifts the function b units downward.
- f (x + b) shifts the function b units to the left.
- f (x – b) shifts the function b units to the right.
- –f (x) reflects the function in the x-axis (that is, upside-down).
What does it mean to reflect over the line y =- 2?
the x-values of the mirror image will stay the same. look at the y-values. the y-values must be the same number of units below the line y=2 as above the line y=2. for example, if a y-value is 2 units above the line y=2, the mirror image of that y-value must be 2 units below the line y=2.