How do you write a transformation?

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).

How do you write foreign words in an essay?

Italicizing Foreign Words

If only one unfamiliar foreign word or brief phrase is being used, italicize it.
If an entire sentence or passage of two or more sentences appear in a foreign language, type the passage in plain type and put the passage in quotation marks.
If the foreign word is a proper noun, do not italicize it.

What type of transformation is a reflection?

Translation is when we slide a figure in any direction. Reflection is when we flip a figure over a line. Rotation is when we rotate a figure a certain degree around a point.

How do you tell if a parabola is stretched or compressed?

If a > 1 \displaystyle a>1 a>1, then the graph will be stretched.
If 0 < a < 1, then the graph will be compressed.
If a < 0 \displaystyle a<0 a<0, then there will be combination of a vertical stretch or compression with a vertical reflection.

What is the rule for rotation?

Rules of Rotation The general rule for rotation of an object 90 degrees is (x, y) ——–> (-y, x). For 180 degrees, the rule is (x, y) ——–> (-x, -y) For 270 degrees, the rule is (x, y) ——–> (y, -x)

How do you write a 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 \begin{align*}(x,y) \rightarrow (x+5,y+3)\end{align*}.

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) .

How do you determine vertical and horizontal stretches and shrinks?

Key Points

When by either f(x) or x is multiplied by a number, functions can “stretch” or “shrink” vertically or horizontally, respectively, when graphed.
In general, a vertical stretch is given by the equation y=bf(x) y = b f ( x ) .
In general, a horizontal stretch is given by the equation y=f(cx) y = f ( c x ) .

What is a rule for translation?

A translation is a type of transformation that moves each point in a figure the same distance in the same direction. The second notation is a mapping rule of the form (x,y) → (x−7,y+5). This notation tells you that the x and y coordinates are translated to x−7 and y+5. The mapping rule notation is the most common.

How do you describe a transformation?

A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system. Mathematical transformations describe how two-dimensional figures move around a plane or coordinate system. A preimage or inverse image is the two-dimensional shape before any transformation.

How can you tell the difference between horizontal and vertical?

A vertical line is any line parallel to the vertical direction. A horizontal line is any line normal to a vertical line. Horizontal lines do not cross each other. Vertical lines do not cross each other.

How do you reference a foreign language source Harvard?

Formula for citing a foreign language source in Harvard: Author Last Name, First Initial (Year Published). Original title. Place of publication: Publisher.

How do you cite a translation in Harvard?

Translated Work

Author/editor.
Year of translated publication (in round brackets).
Title of book (in italics).
Translated by …
Place of publication: reprint publisher.

How do translations work?

In a translation, every point of the object must be moved in the same direction and for the same distance. When you are performing a translation, the initial object is called the pre-image, and the object after the translation is called the image.

How do you cite your own translation?

Luckily, the solution is quite simple: If you translated a passage from one language into another it is considered a paraphrase, not a direct quotation. Thus, to cite your translated material, all you need to do is include the author and date of the material in the in-text citation.

What is an example of transformation?

Transformation is the process of changing. An example of a transformation is a caterpillar turning into a butterfly. An operation or rule that changes one linguistic structure (especially a syntactic structure) into another, as by the merger, relocation, or deletion of one of its constituents.

What is the transformation rule?

: a principle in logic establishing the conditions under which one statement can be derived or validly deduced from one or more other statements especially in a formalized language.