SOLUTION: Consider the function y=2x^2-12x +22. Explain how the key features of the function y=x^2 have been changed for each specific value of "a", "k" and "c".

Algebra ->  Trigonometry-basics -> SOLUTION: Consider the function y=2x^2-12x +22. Explain how the key features of the function y=x^2 have been changed for each specific value of "a", "k" and "c".      Log On


   

Question 1032534: Consider the function y=2x^2-12x +22. Explain how the key features of the function y=x^2 have been changed for each specific value of "a", "k" and "c".
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Change from general form into standard form and you will see what happened to a and k. Look for the lesson on this, involving Completing the Square.

y=2%28x%5E2-6x%29%2B22
y=2%28x%5E2-6x%2B9-9%29%2B22
y=2%28%28x-3%29%5E2-9%29%2B22
y=2%28x-3%29%5E2-18%2B22
highlight%28y=2%28x-3%29%5E2%2B4%29

Beginning with y=x^2, a changed from 1 to 2. k changed from 0 to 4.
c changed from 0 to 22. General form would be from ax%5E2%2Bbx%2Bc=y. Usual symbolism for stating standard form is y=a%28x-h%29%5E2%2Bk.