SOLUTION: Find the equation of the parabola: VERTEX = (1, 3) POINT (3, -5) Here's what I've got so far... -5 = a(3-1)^2 + 3 -5 = 3a + 3 -8 = 3a ...am I doing this correctly?

Algebra ->  Rational-functions -> SOLUTION: Find the equation of the parabola: VERTEX = (1, 3) POINT (3, -5) Here's what I've got so far... -5 = a(3-1)^2 + 3 -5 = 3a + 3 -8 = 3a ...am I doing this correctly?      Log On


   

Question 174762: Find the equation of the parabola:
VERTEX = (1, 3)
POINT (3, -5)
Here's what I've got so far...
-5 = a(3-1)^2 + 3
-5 = 3a + 3
-8 = 3a
...am I doing this correctly?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
y=a%28x-1%29%5E2%2B3......so plug in values (3,-5) to find a
:
-5=a%283-1%29%5E2%2B3
:
-5=a%282%29%5E2%2B3
:
-5=4a%2B3
:
4a=-8
:
highlight%28a=-2%29
:
highlight%28y=-2%28x-1%29%5E2%2B3%29
:
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C-2%28x-1%29%5E2%2B3%29