How can I solve y=a(x-1)^2+k when they only give me two points which are : (2,6) and (3,12)?

1 Answer
Jun 20, 2018

You just need to plug the points and then solve that.

Explanation:

Because (2,6) is in the function, we can plug 6 as y and 2 as x.
From that we get 6=a(2-1)^2+k
6=a+k
Same for the next point: 12=a(3-1)^2+k
12=2^2a+k
12=4a+k

Now we have this system of equations to solve:
a+k=6
4a+k=12
Solving it leads to the conclusion that a=2,k=4.