Describe the Transformations That Were Applied to the Parent Function

F x 12 Ix-1I -1. Describe the transformations that were applied to the parent function to create the graph shown below.

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Y x - 1 Parent function y x shown on graph in red.

. The parent function is the simplest form of the type of function given. Describe the transformations that were applied to the parent function. Compresses by 12 Shifts left 1 down 1.

Describe the transformations that must be applied to the parent function to obtain each of the following functions. Describe the transformations that were applied to the parent function to create the graph shown below. Reflection A reflection on the x-axis is made on a function by multiplying the parent function by a negative.

Describe the transformations that were applied to the parent function. These transformations include horizontal shifts stretching or compressing vertically or horizontally reflecting over the x or y axes and vertical shifts. Y x2 y x 2.

Compresses by 12 Shifts right 1 up 1. Describe the Transformation yx5 The parent function is the simplest form of the type of function given. Relected about the x-axis 2.

Then write the equation of the transformed function. Adding a number at the end of a function results in a vertical translation. 15 Questions Show answers.

D parent function3 4 4 5 y 5 x4y 5 x3 PRACTISING y5 x3 xy 4 2 0 2 4 6 2 4 624 2 2 4 63 4xy 4 2 0 2 4 2 4245 34 5. What are the vertex axis of symmetry and transformations of the given function. 10 -5 -2 4-1 -6 -3 4.

F x x2 f x x 2. A hx 3 x 52 4 b gx 2 cos x 90 8 Solutions. Describe the transformations that were done to the parent function FxX2 to create gx-2x-62 5.

Describe the transformations that must be applied to the parent function to obtain each of the following functions. When using the mapping rule to graph functions using transformations you should be able to graph the parent function and list the main points. Describe the transformations that must be applied to the parent function to obtain each of the following functions.

Y x parent function. Adding a number inside of a function in this case under the square root translates the graph horizontally. Compresses by 12 Shifts left 1 up 1.

Moves rightleftupdownreflects over x or y axis fx x5. Describe the transformation that is applied to the parent function. Dale graphed the absolute value parent function.

Yx The list of transformations in order applied to y x 60 48 16 23 -54-32 5 -1-1 5-51 The Equation. Describe the transformation that is applied to the parent function. Fx -x-5 _____ 2fx 3x8 _____ 3fx 12x-1-1 _____ 4.

A displaystylefleftxright-3logleft2xright b displaystylefleftxrightlogleftx-5right2. A The parent function is fx x2. Use complete sentences.

Identify the transformations performed on the parent function. Shift down 9 units 3. F x IxI -5.

Shift left 2 units y math. Graph the parent function as a guide this is optional. Then he reflected the graph over the x-axis shifted it four units.

Y x 5- 4- 3- 2- -10 -8-6 -2 2. The transformation from the first equation to the second one can be found by finding and for each equation. In two or more complete sentences identify the parent function and describe the transformations that were applied to obtain the graph f x V2x 6 1.

Gx x2 g x x 2. You must include EVERY transformation to earn full credit. Describe the transformations that were applied to the parent function to create each of the following graphs.

Function Transformations Just like Transformations in Geometry we can move and resize the graphs of functions Let us start with a function in this case it is fx x 2. Use transformations to graph the following functions. Perform each transformation on the graph until we complete all the identified transformations.

Then write the equation of the transformed function. Y 11 VY -14 A- 4 2- -12121 f 3 2 NE O -4-2 2 4 2- 0 -4-2 1-2-3 -2- -3-4 -4-5 -6 1-2 -4- -4- Show your work. For a better explanation assume that y x2 y x 2 is f x x2 f x x 2 and y x2 y x 2 is gx x2 g x x 2.

Then write the equation of the transformed function. Find the function that is finally graphed after the following transformations are applied to the graph of ysqrt x in the order listed. The parent function is f xx.

Then write the equation of the transformed function. Write the new equation of the logarithmic function according to the transformations stated as well as the domain and range. A f x -3 log 2x b f x log.

Compare the function with the parent function. Since the graph is a quadratic function we start with the parent function y. The transformation of the parent function is shown in blue.

Describe the Transformation yx2. The function has also been vertically compressed by a factor of ⅓ shifted 6 units down and reflected across the x-axis. Describe the transformations that were applied to the parent function to create each of the following graphs.

A f x 3 log. Compresses by 12 Shifts right 1 down 1. This graph has been transformed by a translation left 6 units a translation up 2 units and a stretch by a factor of 2.

For a better explanation assume that is and is. It is a shift down or vertical translation down of 1 unit. Furthermore all of the functions within a family of functions can be derived from the parent function by taking the parent functions graph through various transformations.

Y 10x-2 -7. Why dont we start graphing fx x 1 2 3 by first identifying its transformations. Y x2 y x 2.

Describe the transformations that were done to the parent function FxX2 to create gx-2x-62 5.

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