Table summarizes some parabola facts you need to remember. In each parabola equation, the sign of the x^2-term determines whether the vertex at (h, k) is a maximum point (if a < 0) or a minimum point (if a > 0).

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TRANSLATING GRAPHS OF FUNCTIONS

Translating a graph in the xy-plane moves the graph sideways or up/down without rotating it, or changing its size or shape.

TIP
■ y = f(x) + k:
Adding k outside the parentheses shifts the graph of function f vertically k units.

■ y = f(x + h):
Adding h inside the parentheses shifts the graph of function f sideways h units.

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