1 a graph is said to be symmetric about the x axis if

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

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: case it looks like we are shifting f ( x ) = x3 . We can then see that, h ( x ) = ( x + 2) = f ( x + 2) 3 © 2007 Paul Dawkins 228 http://tutorial.math.lamar.edu/terms.aspx College Algebra In this case c = 2 and so we’re going to shift the graph of f ( x ) = x3 (the dotted line on the graph below) and move it 2 units to the left. This will mean subtracting 2 from the x coordinates of all the points on f ( x ) = x3 . Here is the graph for this problem. [Return to Problems] (b) g ( x ) = x-4 In this case it looks like the base function is x and it also looks like c = -4 and so we will be shifting the graph of x (the dotted line on the graph below) to the right by 4 units. In terms of coordinates this will mean that we’re going to add 4 onto the x coordinate of all the points on x. Here is the sketch for this function. [Return to Problems] Vertical and Horizontal Shifts Now we can also combine the two shifts we just got done looking at into a single problem. If we know the graph of f ( x ) the graph of g ( x ) = f ( x + c ) + k...
View Full Document

This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.

Ask a homework question - tutors are online