Given the graph of g below: a. Determine the family of functions to which g belongs (linear, quadratic, exponential, etc.) and write the equation for the parent function, f. b. List the transformations that need to be performed on the graph of f, in the correet order to obtain the graph of g. c. Write the equation of g. a) Family: b) Transformations c) Equation of g:

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Given the graph of g below:  a. Determine the family of functions to which g belongs (linear, quadratic, exponential, etc.) and write the equation for the parent function, f.  b. List the transformations that need to be performed on the graph of f, in the correet order to obtain the graph of g.  c. Write the equation of g.  a) Family:  b) Transformations  c) Equation of g:

navratitehf · Accepted Answer

Step 1: Given, The graph of the function g(x). We have to answer the following... Step 2: Explanation Solution (a): The given function is not a linear function. This is a quadratic function. Also, the parent function for the given graph is f(x)=|x|. Solution (b): Since we have the function f(x)=|x|, then 1. Take a reflection of the function over the x-axis, we get f(x)=−|x|. 2. Take a horizontal translation left 3 units, we get f‘(x)=−|x−3|. 3. Take a vertical translation up 2 units, we get g(x)=−|x−3|+2. Solution (c): The equation of the graph g(x) is g(x)=−|x−3|+2.

Given the graph of g below: a. Determine the family of functions t

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