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Asked by: Gianpiero Zabalza-Irisarri
science space and astronomyHow do you translate points on a graph?
If asked to translate a point (x+1,y+1), you move it to the right one unit because + on the x-axis goes to the right, and move it up one unit, because + on the y-axis goes up.
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) .
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.
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).