Asked by: Gianpiero Zabalza-Irisarriscience space and astronomy
How do you translate points on a graph?
Last Updated: 25th April, 2020
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Similarly, you may ask, what is the formula for translation?
In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved. To translate the point P(x,y) , a units right and b units up, use P'(x+a,y+b) .
Additionally, how do transformations work? A function transformation takes whatever is the basic function f (x) and then "transforms" it (or "translates" it), which is a fancy way of saying that you change the formula a bit and thereby move the graph around. Moving the function down works the same way; f (x) – b is f (x) moved down b units.
Hereof, what is an image point?
Reflection - of a point The given point P is "reflected" in the mirror and appears on the other side of the line an equal distance it. The reflection of the point P over the line is by convention named P' (pronounced "P prime") and is called the "image" of point P.
How do you transform a function?
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).