SOLUTION: what is the vertex of the parabola y=4x^2+8x+3 what is a parabola?

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Question 204614: what is the vertex of the parabola y=4x^2+8x+3
what is a parabola?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Find the vertex of the parabola:
y+=+4x%5E2%2B8x%2B3
The x-coordinate of the vertex is given by:
x+=+%28-b%29%2F2a and a = 4, b = 8, so...
x+=+%28-8%29%2F2%284%29
x+=+-1 now substitute this into the original equation and solve for y.
y+=+4%28-1%29%5E2%2B8%28-1%29%2B3
y+=+4-8%2B3
y+=+-1The vertex is at (-1, -1)
A parabola is the shape of the curve you get when you graph a quadratic equation.
graph%28400%2C400%2C-5%2C5%2C-5%2C5%2C4x%5E2%2B8x%2B3%29