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Graph the image of each polygon with the given vertices after a dilation centered at the origin with a scale factor of 2. Then graph a dilation centered at the origin with a scale factor of 1/2.
This collection of solved problems covers elementary and intermediate calculus, and much of advanced calculus. We have aimed at presenting the broadest range of problems that you are likely to encounter—the old chestnuts, all the current standard types, and some not so standard. Each chapter begins with very elementary problems.
This booklet contains the worksheets for Math 1A, U.C. Berkeley’s calculus course. Christine Heitsch, David Kohel, and Julie Mitchell wrote worksheets used for Math 1AM and 1AW during the Fall 1996 semester.
This booklet contains the worksheets for Math 1B, U.C. Berkeley’s second semester calculus course. The introduction of each worksheet briefly motivates the main ideas but is not intended as a substitute for the textbook or lectures. The questions emphasize qualitative issues and the problems are more computationally intensive.
Dilations in the Coordinate Plane. Words To dilate a fi gure with respect to the origin, multiply the coordinates of each vertex by the scale factor k. Algebra (x, y) (kx, ky) When k > 1, the dilation is an enlargement. When k > 0 and k < 1, the dilation is a reduction.
Explore this lesson to learn the definitions of dilation, scale factor, and center of dilation. Use our step-by-step calculator and example problems to learn how to perform dilations on a graph.
How to perform dilations explained with examples, pictures and interactive practice problems worked out -step by step
