SOLUTION: y=h(x), where y=x^2+x. The graph has been transformed. The new equation is 1/2y=h(2x). What is the simplified version of this equation? A. 2x^2 B. 2x^2+2 C. 4x^2+4x D. 8x^2+4

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: y=h(x), where y=x^2+x. The graph has been transformed. The new equation is 1/2y=h(2x). What is the simplified version of this equation? A. 2x^2 B. 2x^2+2 C. 4x^2+4x D. 8x^2+4      Log On


   

Question 1134798: y=h(x), where y=x^2+x. The graph has been transformed. The new equation is 1/2y=h(2x). What is the simplified version of this equation?
A. 2x^2
B. 2x^2+2
C. 4x^2+4x
D. 8x^2+4x
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

y=h%28x%29, where y=x%5E2%2Bx.
The graph has been transformed. The new equation is %281%2F2%29y=h%282x%29.
%281%2F2%29%28x%5E2%2Bx%29=h%282x%29......since y=h%28x%29=>h%28x%29=x%5E2%2Bx
then h%282x%29=%282x%29%5E2%2B2x
h%282x%29=4x%5E2%2B2x
and we have
%281%2F2%29%28x%5E2%2Bx%29=4x%5E2%2B2x
x%5E2%2Bx=2%2A%284x%5E2%2B2x%29
x%5E2%2Bx=highlight%288x%5E2%2B4x%29

answer:
D. 8x%5E2%2B4x