SOLUTION: Consider the function g(x) = -|x-3|+2. Describe the transformation in the correct order required to get from f(x)= |x| to g(x)?

Question 1023498: Consider the function g(x) = -|x-3|+2. Describe the transformation in the correct order required to get from f(x)= |x| to g(x)?

Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!

Start with f(x) = |x|



Shift it right by 3 units by replacing x by x-3

h(x) = |x-3|



Reflect it in the x axis by multiplying the whole
right side by -1

h(x) = -|x-3|



Shift it upward by 2 units by adding 2 to the
right side

g(x) = -|x-3|+2



Edwin

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