SOLUTION: Write the quadratic function in the form y = a(x - h)2 + k. Find the veertex, axis of symmetry, domain and range y = -2x^2 - 8x - 5

Algebra ->  Test  -> Lessons -> SOLUTION: Write the quadratic function in the form y = a(x - h)2 + k. Find the veertex, axis of symmetry, domain and range y = -2x^2 - 8x - 5      Log On


   

Question 316859: Write the quadratic function in the form y = a(x - h)2 + k. Find the veertex, axis of symmetry, domain and range
y = -2x^2 - 8x - 5
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y+=+-2x%5E2-8x-5
y+=+-2%28x%5E2+%2B+4x%29-5
y+=+-2%28x%5E2+%2B+4x%2B4%29-5%2B8
y=-2%28x%2B2%29%5E2%2B3
The vertex of the parabola is (-2,3).
The axis of symmetry is x=-2.
The domain is unlimited: (-infinity,infinity).
Since the coefficient for x%5E2 is negative, the parabola opens downward, and the vertex is the maximum value.
The range is (-infinity,3).
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