To get the same output from the function \(g\), we will need an input value that is 3 larger. To find the transformation, compare the two functions and check to see if there is a horizontal or vertical shift, reflection about the x-axis, and if there is a vertical stretch. Vertical Compression or Stretch: None Step 9 To find the transformation, compare the two functions and check to see if there is a horizontal or vertical shift, reflection about the x-axis, and if there is a vertical stretch. Example 1 : Perform a vertical expansion by a factor 2 to the function f (x) x2 And also write the formula that gives the requested transformation and draw the graph of both the given function and the transformed function Answer : Step 1 : Let g (x) be a function which represents f (x) after the vertical expansion by a factor of 2. The formula \(g(x)=f(x−3)\) tells us that the output values of \(g\) are the same as the output value of \(f\) when the input value is 3 less than the original value.
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