SOLUTION: Transform the function,y=∛(x^2-x+5), shifted to the right two units, then reflected about the y-axis, and then shrunk vertically a factor of 3. What is the new algebraic exp

Algebra ->  Graphs -> SOLUTION: Transform the function,y=∛(x^2-x+5), shifted to the right two units, then reflected about the y-axis, and then shrunk vertically a factor of 3. What is the new algebraic exp      Log On


   



Question 201286: Transform the function,y=∛(x^2-x+5), shifted to the right two units, then reflected about the y-axis, and then shrunk vertically a factor of 3. What is the new algebraic expression? I thought it was y=∛(-x^2+x-3)/3 but this does not graph correctly. Help.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
y+=+%28x%5E2+-+x+%2B+5%29%5E%281%2F3%29
Replace y with 3y
Replace x with x+-+2 and y with -y
Then,
-3y+=+%28%28x+-+2%29%5E2+-+%28x+-+2%29+%2B+5%29%5E%281%2F3%29
-3y+=+%28x%5E2+-+4x+%2B+4+-+x+%2B+2+%2B+5%29%5E%281%2F3%29
-3y+=+%28x%5E2+-+5x+%2B+11%29%5E%281%2F3%29
y+=+%28-1%2F3%29%2A%28x%5E2+-+5x+%2B+11%29%5E%281%2F3%29
I'll graph both functions

Hope I got it right.