Asked by: Gianpiero Zabalza-Irisarri
science space and astronomy

How do you translate points on a graph?

Last Updated: 25th April, 2020

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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.

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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:

  1. f (x) + b shifts the function b units upward.
  2. f (x) – b shifts the function b units downward.
  3. f (x + b) shifts the function b units to the left.
  4. f (x – b) shifts the function b units to the right.
  5. –f (x) reflects the function in the x-axis (that is, upside-down).

Related Question Answers

Alik Riewenherm

Pundit

How do you translate a graph horizontally?

The Rule for Horizontal Translations:
if y = f(x), then y = f(x-h) gives a vertical translation. The translation h moves the graph to the left when h is a postive value and to the right when h is negative value.

Florencio Kuang

Pundit

What is a translation in math graphing?

A TRANSLATION OF A GRAPH is its rigid movement, vertically or horizontally. On the left is the graph of the absolute value function. On the right is its translation to a "new origin" at (3, 4).

Rabii Filippenko

Teacher

How do you find the coordinates of a point?

To find out the coordinates of a point in the coordinate system you do the opposite. Begin at the point and follow a vertical line either up or down to the x-axis. There is your x-coordinate. And then do the same but following a horizontal line to find the y-coordinate.

Zoubaida Atlin

Teacher

What do we mean by translation?

Translation is the communication of meaning from one language (the source) to another language (the target). Translation refers to written information, whereas interpretation refers to spoken information.

Houssame Khoury

Teacher

What are the formulas for rotation?

180 degrees is (-a, -b) and 360 is (a, b). 360 degrees doesn't change since it is a full rotation or a full circle. Also this is for a counterclockwise rotation. If you want to do a clockwise rotation follow these formulas: 90 = (b, -a); 180 = (-a, -b); 270 = (-b, a); 360 = (a, b).

Mandi Avhimovitch

Reviewer

What is an example of translation in math?

A translation is a transformation that moves every point in a figure the same distance in the same direction. For example, this transformation moves the parallelogram to the right 5 units and up 3 units. It is written egin{align*}(x,y) ightarrow (x+5,y+3)end{align*}.

Zohaib Wolz

Reviewer

What does it mean to be congruent?

Congruent. Angles are congruent when they are the same size (in degrees or radians). Sides are congruent when they are the same length.

Todd Zhalnin

Supporter

What is a translation in biology?

In molecular biology and genetics, translation is the process in which ribosomes in the cytoplasm or ER synthesize proteins after the process of transcription of DNA to RNA in the cell's nucleus. Translation proceeds in three phases: Initiation: The ribosome assembles around the target mRNA.