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Vertical and Horizontal Shifts of Quadratics Graphs

Adding or subtracting a positive constant k to f(x) is called a vertical shift.
Adding or subtracting a positive constant h to x is called a horizontal shift.

Vertical and horizontal shifts are summarized in the following table:

 Type of Change Effect on y=f(x) y=f(x)+k vertical shift: k units up y=f(x)-k vertical shift: k units down y=f(x+h) horizontal shift: h units to left y=f(x-h) horizontal shift: h units to right Basic parabola  Vertical shift Horizontal shift