SOLUTION: A parabola can be represented by y = 0.5 x2 – 8.7 x + 3. The x coordinate of the vertex is?

Algebra ->  Linear-equations -> SOLUTION: A parabola can be represented by y = 0.5 x2 – 8.7 x + 3. The x coordinate of the vertex is?      Log On


   

Question 327874: A parabola can be represented by y = 0.5 x2 – 8.7 x + 3. The x coordinate of the vertex is?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square to put parabola in vertex form, y=a%28x-h%29%5E2%2Bk where (h,k) i the vertex.
y+=+0.5x%5E2+-+8.7+x+%2B+3
y=0.5%28x%5E2-17.4x%29%2B3
y=0.5%28x%5E2-17.4x%2B8.7%5E2%29%2B3-0.5%288.7%29%5E2
y=0.5%28x-8.7%29%5E2%2B3-37.845
y=0.5%28x-8.7%29%5E2-34.845
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The vertex is (8.7,-34.845).
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