SOLUTION: Find the equation whose vertex is (2,-2) that passes through the point (4,0))

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find the equation whose vertex is (2,-2) that passes through the point (4,0))      Log On


   

Question 1106108: Find the equation whose vertex is (2,-2) that passes through the point (4,0))
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
How do you mean "equation"?

Here is a possibility.
y=a%28x-2%29%5E2-2
y%2B2=a%28x-2%29%5E2
a=%28y%2B2%29%2F%28x-2%29%5E2
a=%280%2B2%29%2F%284-2%29%5E2
a=2%2F%282%5E2%29
a=1%2F2

highlight%28y=%281%2F2%29%28x-2%29%5E2-2%29, but not the only possible answer