Transformations of functions: Horizontal translations

Topic Notes
Horizontal translations refer to movements of a graph of a function horizontally along the x-axis by changing the x values. So, if y = f(x), then y = (x –h) results in a horizontal shift. If h > 0, then the graph shifts h units to the right; while If h < 0, then the graph shifts h units to the left.
Compared to y=f(x)y=f(x):
y=f(x−8)y=f(x-8): shift 8 units to the right
y=f(x+3)y=f(x+3): shift 3 units to the left
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