SOLUTION: Describe the change in y=x^2 for each equation. y=(x-6)^2 The phrase "Describe the change..." confuses me. Is this the same as solving? Should I be changing the equation to:

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Describe the change in y=x^2 for each equation. y=(x-6)^2 The phrase "Describe the change..." confuses me. Is this the same as solving? Should I be changing the equation to:       Log On


   



Question 439993: Describe the change in y=x^2 for each equation.
y=(x-6)^2
The phrase "Describe the change..." confuses me. Is this the same as solving? Should I be changing the equation to:
(x-6)^2-y=0

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
"Describe the change" means what it literally means; it is not the same as solving. To change y = x^2 to y = (x-6)^2, you would shift the first equation to the right six units (not left). This is because the vertex of the new parabola occurs at x=6.

The red graph is y = x^2, the green graph is y = (x-6)^2:
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C+x%5E2%2C+%28x-6%29%5E2%29