SOLUTION: How would I go about writing the quadratic function, in (standard) form, which has a vertex of (-6, 2) and passes through (5, 12)? The standard form is y= a(x-h)^2+k , so i woul

Question 151404: How would I go about writing the quadratic function, in (standard) form, which has a vertex of (-6, 2) and passes through (5, 12)?
The standard form is y= a(x-h)^2+k , so i would put -6 as h and 2 as k but from there I am stuck.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Plug in and

Rewrite as

Since the quadratic passes through (5, 12), this means that if you plug in , you will get . So we can plug in and to solve for "a"

Plug in and

Add

Square 11 to get 121

Rearrange the terms

Subtract 2 from both sides.

Divide both sides by 121.

So the value of "a" is

This means that the equation is

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