Scaling

(noun)

Changes the size and/or the shape of the function.

Related Terms

Examples of Scaling in the following topics:

  • Solving Problems with Logarithmic Graphs

    • Here are some examples of functions graphed on a linear scale, semi-log and logarithmic scales.
    • The top left is a linear scale.
    • The bottom right is a logarithmic scale.
    • The top right and bottom left are called semi-log scales because one axis is scaled linearly while the other is scaled using logarithms.
    • Top Left is a linear scale, top right and bottom left are semi-log scales and bottom right is a logarithmic scale.

  • Stretching and Shrinking

    • In algebra, equations can undergo scaling, meaning they can be stretched horizontally or vertically along an axis.  
    • First, let's talk about vertical scaling.  
    • In general, the equation for vertical scaling is:
    • Now lets analyze horizontal scaling. 
    • In general, the equation for horizontal scaling is:

  • Transformations of Functions

    • The four main types of transformations are translations, reflections, rotations, and scaling.
    • Scaling is a transformation that changes the size and/or the shape of the graph of the function.  
    • Differentiate between three common types of transformations: reflections, rotations, and scaling

  • Introduction to Ellipses

    • To do this, we introduce a scaling factor into one or both of the $x$-$y$ coordinates.
    • Let's start by dividing all $x$ coordinates by a factor $a$, and therefore scaling the $x$ values.
    • Similarly, we can scale all the values of $y$ by a factor $b$ (we also assume $b > 1$).
    • If we had used scaling factors that were less than one, it would have compressed the shape instead of stretching it further out.

  • Inconsistent and Dependent Systems

    • are dependent — they are the same equation when scaled by a factor of two, and they would produce identical graphs.

  • Cofactors, Minors, and Further Determinants

    • The determinant is the sum of the signed minors of any row or column of the matrix scaled by the elements in that row or column.

  • Common Bases of Logarithms

    • Logarithmic scales reduce wide-ranging quantities to tiny scopes.
    • The pH scale measures how acidic or basic a substance is.

  • What Are Polynomials?

    • They have the form of a sum of scaled powers of a variable.

  • Inconsistent and Dependent Systems in Two Variables

    • Also note that they are the same equation scaled by a factor of two; in other words, the second equation can be derived from the first.

  • Matrices and Row Operations

    • Row multiplication (scale): Multiply a row of a matrix by a nonzero constant.