(Section 1.4: Transformations) 1.4.4 WARNING 1:Many people confuse the horizontal shifts. • Compare the x-interceptsof the graphs of y=xand y=x±2. The x-intercept is at x=0for the first graph, while it is at x=2for the secondgraph. The fact that the point 0, 0()lies on the firstgraph implies that the point 2, 0lies on the secondgraph. • More generally: The point a,blies on the firstgraph ±the point a+2,blies on the secondgraph. Therefore, the second graph is obtained by shifting the first graph to the
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