SOLUTION: How do you show vertical reflection, shift left 3, and shift up 6 to this function: x^3 ? Thanks so much for the help on my homework.

Algebra ->  Functions -> SOLUTION: How do you show vertical reflection, shift left 3, and shift up 6 to this function: x^3 ? Thanks so much for the help on my homework.      Log On


   

Question 902381: How do you show vertical reflection, shift left 3, and shift up 6 to this function: x^3 ?
Thanks so much for the help on my homework.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Original: x%5E3

Vertical Reflection (over x axis): -x%5E3

Shift left 3: -%28x%2B3%29%5E3

Shift up 6 units: -%28x%2B3%29%5E3+%2B+6

The final function is g%28x%29+=+-%28x%2B3%29%5E3+%2B+6 where the original is f%28x%29+=+x%5E3