Horizontal Compression

Horizontal compression is a transformation that narrows the graph of a function by moving its points toward the y-axis, a key concept in understanding how equations represent geometric changes. For a function y = f(x), replacing x with bx, where b > 1, produces y = f(bx); each original point (x, y) shifts to (x/b, y), so horizontal distances decrease by a factor of b while vertical values remain unchanged. This transformation helps students analyze graph behavior, compare related functions, and model changes in scale. It is also useful for interpreting function families, identifying parameter effects, and connecting algebraic expressions with coordinate geometry.

Horizontal Compression - Related Videos

Education

JoVE Science Education - Engineering

Compression Tests on Hardened Concrete

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2023

Source: Roberto Leon, Department of Civil and Environmental Engineering, Virginia Tech, Blacksburg, VA There are two distinct stages in a construction project involving concrete. The first stage involves batching, transporting, and casting fresh concrete. At this stage, the material is viscous, and the workability and finishability are the key performance criteria. The second stage occurs when the hydration process begins shortly after the concrete is placed in the form, and the concrete will...

Research

JoVE Journal - Bioengineering

Mechanostimulation of Multicellular Organisms Through a High-Throughput Microfluidic Compression System

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2022

The present protocol describes the design, fabrication, and characterization of a microfluidic system capable of aligning, immobilizing, and precisely compressing hundreds of Drosophila melanogaster embryos with minimal user intervention. This system enables high-resolution imaging and recovery of samples for post-stimulation analysis and can be scaled to accommodate other multicellular biological systems.

Automated Compression Testing of the Ocular Lens

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Cited by 2 •

2024

We present an automated method for characterizing the effective elastic modulus of an ocular lens using a compression test.

Introduction to Horizontal Curves

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2025

Horizontal curves are essential in highway and railroad design, ensuring smooth and safe transitions between straight path segments, or tangents. These curves allow vehicles to maintain speed without abrupt changes, minimizing accidents and improving travel efficiency.A horizontal curve is typically defined by its geometric relationship to two tangents that meet at an intersection point (P.I.), where a simple curve is introduced to connect them. The back tangent refers to the initial tangent...

Horizontal Curve: Problem Solving

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2025

A horizontal curve is characterized by its radius, intersection angle, and stationing of key points. In this case, the radius is 400 meters, and the angle of intersection is 30 degrees, with the station of the point of curvature (P.C.) at 0 + 150 meters. The goal is to determine the station values at the point of intersection (P.I.), point of tangency (P.T.), and midpoint of the curve, as well as the length of the long chord.The process begins with calculating the tangent distance (T) and the...

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