Transformation of functions worksheet pdf
Rating: 4.9 / 5 (2890 votes)
Downloads: 12614
CLICK HERE TO DOWNLOAD
€ y=x+2 x ‐2 ‐yFill in the WORKSHEET: Using Transformations to Graph Quadratic Functions. Feel free to use a graphing calculator to check your answer, but you should be able to look at the function and apply what you learned in the lesson to move its parent function. To fi nd the outputs of h, multiply the outputs of f by 3 A dilationstretches or compresses the graph of a function. To fi nd the outputs of g, multiply the inputs by. The graph of g consists of the points (1 x, f (x — 3)). (b) The diagram shows the sketch of y On the same diagram sketch the curve Describe the transformations necessary to transform the graph of f(x) into that of g(x)) f (x) x g(x) x 4) f(x) x g(x) (x) Transform the given function f(x) as described and write the resulting function as an equation) f (x) x expand vertically by a factor of Worksheet by Kuta Software LLC AlgebraHW Function Transformations Name_____ Date_____ Period____ ©v R2E0E1o8r JKGuQtha^ MSwoXfptdw[ahrteH WLJLuCe.w F PAalflk Graph the following functions without using technology. When a linear function f (x) is multiplied by a positive constant a, the result a∙f (x) is a vertical dilation. On the grid, sketch the graph of y = f(x − 1) (2)This is a sketch of the curve with the equation y = f(x). The graph of g is a horizontal stretch of the graph of f by a factor of÷ —b. Key Concept Vertical Dilations of Linear Functions The graph of g(x) =axis the graph of f (x) =xstretched or compressed vertically Sketch the final graph of the function, Problem A parabola that opens downward has its vertex at (3, 0) and a y-intercept at (0, −9) The parabola is congruent to the the table below and plot the points to graph the function. € y=x x ‐2 ‐yFill in the table below and plot points to graph the function. Also, state the domain and range for each functionfx x() (2) 4=−2 +fx x() (3) 1=− − − SOLUTIONa. The only minimum point of the curve is On the same diagram, sketch the curve y —f(x + 5). —Then evaluate f. Describe the following transformations on the function y = xWrite the equation for the function y = The graph of y = f(x) is shown below. Indicate the coordinates of one point on the curve.