Stitz-Zeager_College_Algebra_e-book

# If b 0 then we have a factor of 1 in play and

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 4 5 6 7 8 9 10 x horizontal scaling by a factor of 2 1 2 3 4 5 −− − − − − − − − −→ −−−−−−−−−− y = f (x) multiply each x-coordinate by 2 y = g (x) = f 6 7 8 9 10 x 1 x 2 We have the following theorem. Theorem 1.6. Horizontal Scalings. Suppose f is a function and b > 0. To graph y = f (bx), divide all of the x-coordinates of the points on the graph of f by b. We say the graph of f has been horizontally scaled by a factor of 1 . b • If 0 < b < 1, we say the graph of f has undergone a horizontal stretch (expansion, dilation) by a factor of 1 . b • If b > 1, we say the graph of f has undergone a horizontal shrink (compression, contraction) by a factor of b. Theorem 1.6 tells us that if we multiply the input to a function by b, the resulting graph is scaled horizontally by a factor of 1 since the x-values are divided by b to produce corresponding points b on the graph of f (bx). The next example explores how vertical and horizontal scalings sometimes interact with each other and with the...
View Full Document

## This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

Ask a homework question - tutors are online