SOLUTION: Find the vertex for f(x) = −3𝑥^2 + 6𝑥 − 1 via completing the square. Put your answer in the parabolic form of f(x) = 𝑎(𝑥 − ℎ)^2 + 𝑘. What is the axis

Algebra ->  Linear-equations -> SOLUTION: Find the vertex for f(x) = −3𝑥^2 + 6𝑥 − 1 via completing the square. Put your answer in the parabolic form of f(x) = 𝑎(𝑥 − ℎ)^2 + 𝑘. What is the axis      Log On


   



Question 1155967: Find the vertex for f(x) = −3𝑥^2 + 6𝑥 − 1 via completing the square.
Put your answer in the parabolic form of f(x) = 𝑎(𝑥 − ℎ)^2 + 𝑘.
What is the axis of symmetry?

Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29+=+-3x%5E2+%2B+6x-1....complete the square
f%28x%29+=+%28-3x%5E2+%2B6x%29-1
f%28x%29+=+-3%28x%5E2-2x%29-1
f%28x%29+=+-3%28x%5E2-2x%2Bb%5E2%29-%28-3%29b%5E2-1
f%28x%29+=+-3%28x%5E2-2x%2B1%5E2%29%2B3%2A1%5E2-1
f%28x%29+=+-3%28x-1%29%5E2%2B3-1
f%28x%29+=+-3%28x-1%29%5E2%2B2
=> h=1 and k=2
=> vertex is at (1,2)




Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.

On completing the square see the lesson
    - HOW TO complete the square - Learning by examples
in this site.