SOLUTION: I'm struggling a lot with this one...I am so lost... Put equation in this form y=ax^2+bx+c Vertex (4, -1) passes through (2, 3)

Question 927912: I'm struggling a lot with this one...I am so lost...
Put equation in this form y=ax^2+bx+c
Vertex (4, -1) passes through (2, 3)
Answer by Techpriest(29) (Show Source): You can put this solution on YOUR website!
Did you remember the formula of:

A vertex of this formula would be (h,k).
So we can plug in the vertex into this formula into:

We know that it passes through (2,3) so we can plug-in the x and y value into the formula also:

And so we combine like terms now.
Combine Like Terms
Simplify
Addition Property of Equality
Division Property of Equality
Simplify
We know that a is one. So, into the formula we know that now.

Distribution
FOIL
Simplify
We know that f(x) is y.
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