9514 1404 393
Answer:
y = 3x^2 -24x +50
Step-by-step explanation:
The vertex form is ...
y = a(x -4)^2 +2
where 'a' is chosen to make the curve pass through the given point.
14 = a(2 -4)^2 +2 . . . . substitute the given point
14 = 4a +2 . . . simplify
12 = 4a . . . . . subtract 2
3 = a . . . . . . . divide by 4
Then the standard form is the expansion of the vertex form:
y = 3(x -4)^2 +2 = 3(x^2 -8x +16) +2
y = 3x^2 -24x +50
