SOLUTION: Determine the coordinates of the vertex for the quadratic equation y = 4x2 + 10x + 5

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Determine the coordinates of the vertex for the quadratic equation y = 4x2 + 10x + 5      Log On


   

Question 324988: Determine the coordinates of the vertex for the quadratic equation y = 4x2 + 10x + 5
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square to put the equation into vertex form,
y=4x%5E2%2B10x%2B5
y=4%28x%5E2%2B%285%2F2%29x%29%2B5
y=4%28x%5E2%2B%285%2F2%29x%2B25%2F16%29%2B5-25%2F4
y=4%28x%2B5%2F4%29%5E2%2B20%2F4-25%2F4
y=4%28x%2B5%2F4%29%5E2-5%2F4
The vertex is (-5/4,-5/4).
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