Lessons for F.BF.B.3
Combining transformations and the general formApplying a shift, a flip and a stretch to one parent graph together.Lesson
Graphing square root functionsPlotting the half curve that begins at its endpoint and rises more and more slowly.Lesson
Graphs of logarithmic functionsThe exponential's mirror image across y = x.Lesson
Graphing by transforming a parent graphDrawing a new graph by moving the parent graph instead of plotting many points.Lesson
Reflecting a graph across the axesTaking the opposite of the whole output turns the graph upside down.Lesson
Even and odd functionsReplacing the input by its opposite, or both variables by their opposites, and seeing whether the equation survives.Lesson
Transforming the absolute value graphShifting, flipping and stretching the V to match a given rule.Lesson
Transforming an exponential graphShifting and stretching the curve, which also moves its horizontal asymptote.Lesson
Transforming the reciprocal graphShifting and stretching one over x, which moves both of its asymptotes.Lesson
Shifting a graph up, down, left and rightAdding a number to the whole output slides the graph up or down by that amount.Lesson
Stretches and compressionsMultiplying the whole output by a number pulls the graph away from the horizontal axis or squashes it toward it.Lesson
Finding the rule of a transformed graph or tableIdentifying the parent graph and every change applied to it, then assembling the rule.Lesson
Printable Worksheets
Combining transformations and the general form worksheet (PDF)Printable worksheet with answer keyPreview
Graphing square root functions worksheet (PDF)Printable worksheet with answer keyPreview
Graphs of logarithmic functions worksheet (PDF)Printable worksheet with answer keyPreview
Graphing by transforming a parent graph worksheet (PDF)Printable worksheet with answer keyPreview
Reflecting a graph across the axes worksheet (PDF)Printable worksheet with answer keyPreview
Even and odd functions worksheet (PDF)Printable worksheet with answer keyPreview
Transforming the absolute value graph worksheet (PDF)Printable worksheet with answer keyPreview
Transforming an exponential graph worksheet (PDF)Printable worksheet with answer keyPreview
Transforming the reciprocal graph worksheet (PDF)Printable worksheet with answer keyPreview
Shifting a graph up, down, left and right worksheet (PDF)Printable worksheet with answer keyPreview
Stretches and compressions worksheet (PDF)Printable worksheet with answer keyPreview
Finding the rule of a transformed graph or table worksheet (PDF)Printable worksheet with answer keyPreview