SOLUTION: Without graphing, find the vertex. f(x) = 6(x - 4)2 - 9

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Question 312950: Without graphing, find the vertex.
f(x) = 6(x - 4)2 - 9
Found 2 solutions by Fombitz, nyc_function:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+6%28x+-+4%29%5E2+-+9
The equation is in vertex form,
f%28x%29=a%28x-h%29%5E2%2Bk
where (h,k) is the vertex.
(h,k)=(4,-9)
+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+6%28x-4%29%5E2-9%29+

Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
Your equation is of the form y = a(x - h)^2 + k.
The vertex is the point (h,k).
You were given f(x) = 6(x - 4)2 - 9.
Plugging -4 and -9 into the formula above, we learn that the vertex is
the point (4, -9).
Done!