Answer to Question 1

Write the equation for the graph of function g(x), obtained by shifting the graph of  f (x) = x² three units left, stretching the graph vertically by a factor of two, reflecting that result over the x-axis, and then translating the graph up four units.  

  
The first screen shows the development (the building) of the transformations.
The final function will be g(x) = -(2(x + 3)²) + 4 = -2(x + 3)² + 4

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