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Examples • The graph of f(x)=x2 is a graph that we know how to draw It's drawn on page 59 We can use this graph that we know and the chart above to draw f(x)2, f(x) 2, 2f(x), 1 2f(x), and f(x) Or to write the previous five functionsIf the graph of y = f (x) is translated a units horizontally and b units vertically, then the equation of the translated graph is y − b = f(x − a) For in a translation, every point on the graph moves in the same manner Let (x 1, y 1), then, be the coördinates of any point on the graph of yGraphs A quadratic function is one of the form f(x) = ax 2 bx c, where a, b, and c are numbers with a not equal to zero The graph of a quadratic function is a curve called a parabolaParabolas may open upward or downward and vary in width or steepness, but they all Y F X Graph Calculator Y=f(x) graph examples