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

The function 𝑓(𝑥) is transformed to 𝑔(𝑥) by a horizontal shift by 𝑎 units to the left and vertical stretch  by 𝑏 units.Under this transformation, a point 𝐴(2,1) on the graph of 𝑓(𝑥) is transformed to a point 𝐵(0,3) on the graph of 𝑔(𝑥).Find the transformed function 𝑔(𝑥).

Select the different types of transformations you can have with a function:Question 11Select one or more:a.Reflection about y axisb.Vertical Shiftsc.Horizontal Shiftsd.Boldinge.Shadingf.Restrictiong.Reflection about originh.Reflection about line y=xi.Stretchingj.Reflection about x axisk.Compression

Instructions: Identify how the parent function y=x2𝑦=𝑥2 was transformed to create the given function.y=−6x2−7𝑦=−6𝑥2−7Vertical Answer 1 Question 9Vertical shift Answer 2 Question 9 Answer 3 Question 9 units

Instructions: For the given function, state the type of shift you would expect to see in its graph and the direction and number of units.y=(x−1)2𝑦=(𝑥−1)2The graph of this function would show a Answer 1 Question 10 shift Answer 2 Question 10 Answer 3 Question 10 units from the parent function y=x2𝑦=𝑥2.

Start with the graph of 𝑓⁡(𝑥)=4𝑥. Then write a function that results from the given transformation.Shift 𝑓⁡(𝑥) 7 units left