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)?

Algebra ->  Functions -> 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)?       Log On


   

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(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Start with f(x) = |x|

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

h(x) = |x-3|

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

h(x) = -|x-3|

graph%28400%2C4800%2F13%2C-5%2C8%2C-5%2C7%2C-abs%28x-3%29%29

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

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

graph%28400%2C4800%2F13%2C-5%2C8%2C-5%2C7%2C-abs%28x-3%29%2B2%29

Edwin