What is a horizontal stretch and shrink?

A horizontal stretch or shrink by a factor of 1/k means that the point (x, y) on the graph of f(x) is transformed to the point (x/k, y) on the graph of g(x). Examples of Horizontal Stretches and Shrinks.

How do you know if a stretch is horizontal or shrink?

Horizontal Scaling



If c is greater than one the function will undergo horizontal shrinking, and if c is less than one the function will undergo horizontal stretching. Horizontal scaling: The function y=sin(x) ⁡ is shrunk by a factor of three in the x direction.

What is horizontally stretch?

Horizontal stretches are among the most applied transformation techniques when graphing functions, so it’s best to understand its definition. Horizontal stretches happen when a base graph is widened along the x-axis and away from the y-axis.

How do you find the horizontal shrink?

A horizontal compression (or shrinking) is the squeezing of the graph toward the y-axis. if k > 1, the graph of y = f (k•x) is the graph of f (x) horizontally shrunk (or compressed) by dividing each of its x-coordinates by k.

What is a stretch Vs shrink?

What are Vertical Stretches and Shrinks? While translations move the x and y intercepts of a base graph, stretches and shrinks effectively pull the base graph outward or compress the base graph inward, changing the overall dimensions of the base graph without altering its shape.

Is a horizontal shrink the same as a vertical stretch?

New member. There is a vertical stretch by a factor of 1/2, and a horizontal stretch by a factor of 1/2 because you would have to multiply all previous input values by 1/2 to get the same output as f(x).

How do you find the horizontal stretch?

Video quote: We're concerned about find the value of B. So in this form if B is greater than 1. We actually have a horizontal compression which we see here by y equals f of 2x.

How do you stretch and shrink a graph?

To stretch or shrink the graph in the y direction, multiply or divide the output by a constant. 2f (x) is stretched in the y direction by a factor of 2, and f (x) is shrunk in the y direction by a factor of 2 (or stretched by a factor of ). Here are the graphs of y = f (x), y = 2f (x), and y = x.

What a transformation that shrinks or stretches a figure?

Video quote: So first you can think of maybe multiplying on the outside of the function. If you multiply by a number larger than one on the outside this will stretch it vertically. So it makes it look taller in a

What is a horizontal translation in math?

What is a Horizontal Translation? Horizontally translating a graph is equivalent to shifting the base graph left or right in the direction of the x-axis. A graph is translated k units horizontally by moving each point on the graph k units horizontally.

What does a vertical shrink look like?

Video quote: And the absolute value that number being between 0 & 1 you're going to get a vertical shrink. Ok so here's an example consider the graph of G of x equals the square root of x we want to describe.

How do you compress and stretch a function?

In math terms, you can stretch or compress a function horizontally by multiplying x by some number before any other operations. To stretch the function, multiply by a fraction between 0 and 1. To compress the function, multiply by some number greater than 1.

What is an example of horizontal translation?

Horizontal Translation: Examples



Similarly, the graph of h(x)=f(x+1)=|x+1| h ( x ) = f ( x + 1 ) = | x + 1 | can be obtained by shifting the graph of f by 1 unit to the left.

How do you write a horizontal translation?

Video quote: Okay so we'll do translation let's say we want to do a um i'm just going to put it together in one equation. So you got f of x equals and then i'm going to make x minus h plus k. Okay okay okay k is

What is vertical and horizontal?

Anything parallel to the horizon is called horizontal. As vertical is the opposite of horizontal, anything that makes a 90-degree angle (right angle) with the horizontal or the horizon is called vertical.

What is horizontal translation in literature?

“Horizontal translation” on the other hand is what happens “between languages of a similar structure and strong cultural affinity”. In this case there is no apparent hierarchy; the languages are considered equal.

What is a vertical stretch equation?

y=f(x) y=2f(x) vertical stretch; y -values are doubled; points get farther away.

Why are horizontal translations counterintuitive?

Shifting the graph to the right might seem counterintuitive because one might think subtracting a value would shift the graph left, towards the negative values on the x-axis. One way to think about horizontal shifts is to consider what has to be done to the function in order to center it about the origin.

What is vertical translation in literature?

In other words, the vertical translation method involves monolingual source language decoding processes, conceptual, non-linguistic representations, monolingual target lan- guage encoding and comparison between the propositional content of source and target language utterances, i.e., problem solving (this process is …

What are the 3 types of translation?

Jakobson’s On Linguistic Aspects of Translation (1959, 2000) describes three kinds of translation: intralingual (within one language, i.e. rewording or paraphrase), interlingual (between two languages), and intersemiotic (between sign systems).

What is partial translation?

Partial translation implements an intermediate format that supports the addition of run-time generated code whenever appropriate. The perfor- mance limit (slowdown) of interpetive translation is around 15, and real implementations have achieved 20-30. Partial translation will perform considerably better.

What is faithful translation?

Faithful translation simply means the translator aims to convey the author’s intention of the text (what the author was intending to communicate) as faithfully as possible into another language.

What is semantic translation according to Peter Newmark?

According to Newmark, ‘semantic translation attempts to render, as closely as the semantic and syntactic structures of the second language allow, the exact contextual meaning of the original‘ (1981, p. 39). Semantic translation has a source language bias; it is literal and the loyalty is to the ST (source text) author.

What are the 4 types of translation?

The 4 Most Common Different Types of Translation

• Literary translation.
• Professional translation.
• Technical Translation.
• Administrative translation.