SOLUTION: Find the vertex and type in an ordered pair. Problem: f(x) = -x^2 + 4x + 5 Thanks very much!

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Find the vertex and type in an ordered pair. Problem: f(x) = -x^2 + 4x + 5 Thanks very much!      Log On


   

Question 320755: Find the vertex and type in an ordered pair.
Problem:
f(x) = -x^2 + 4x + 5
Thanks very much!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square to convert to vertex form, y=a%28x-h%29%5E2%2Bk where (h,k) is the vertex.
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f%28x%29+=+-x%5E2+%2B+4x+%2B+5
f%28x%29+=+-%28x%5E2-4x%29+%2B+5
f%28x%29+=+-%28x%5E2-4x%2B4%29+%2B+5%2B4
f%28x%29+=+-%28x-2%29%5E2+%2B+9
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The vertex is (2,9)