A function g is given. Identify the parent function. Then use the steps for graphing multiple transformations of functions to list, in order, the transformations applied to the parent function to obtain the graph of g.=gx−−19x2Basic Functions Quadratic function: =fxx2 Square root function: =fxxAbsolute value function: =fxx Reciprocal function: =fx1xSteps for Graphing Multiple Transformations of FunctionsTo graph a function requiring multiple transformations, use the following order.1. Horizontal translation (shift)2. Horizontal and vertical stretch and shrink3. Reflections across the x– and y–axis4. Vertical translation (shift)Part 1 of 2The parent function is =fx.Part 2 of 21. ▼(Choose one) the graph of f ▼(Choose one).2. ▼(Choose one) the graph ▼(Choose one).3. ▼(Choose one) the graph ▼(Choose one).

The graph of the parent function, f(x) = x3, is translated such that the function g(x) = (x – 4)3 – 1 represents the new graph. Which transformations occurred? Horizontal translation: Vertical translation:

What kind of transformation converts the graph of f(x)=5(x–8)2–1 into the graph of g(x)=5(x–5)2+5?translation 6 units left and 3 units uptranslation 3 units left and 6 units uptranslation 3 units right and 6 units downtranslation 6 units right and 3 units downSubmit

What kind of transformation converts the graph of f(x)=4(x+7)2–2 into the graph of g(x)=4(x+1)2–4?translation 6 units left and 2 units downtranslation 6 units right and 2 units downtranslation 2 units right and 6 units uptranslation 2 units right and 6 units downSubmit

Consider the function f(x)=2x.a) Write the equation for the function g(x) obtained by shifting f(x) three units to the up.b) Determine the domain and range of g(x).c) Now, consider h(x)=−2x. Describe the transformation applied to f(x) to obtain h(x).d) Sketch the graphs of f(x), g(x), and h(x) on the same set of axes.

Instructions: For the following function, select all the types of transformations that are occurring from the original function of f(x)=6x𝑓(𝑥)=6𝑥. Function: f(x)=16(4)2x−4𝑓(𝑥)=16(4)2𝑥−4Question 17Select one or more:Vertical StretchVertical CompressionVertical Reflection (over x𝑥-axis)Vertical Shift UpVertical Shift DownHorizontal StretchHorizontal CompressionHorizontal Reflection (over y𝑦-axis)Horizontal Shift RightHorizontal Shift Left