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Earn +20 ptsQ: Find the vertex of -2x2 plus 2x plus 8?
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What is the vertex of -2x2 plus 2x plus 3?
Since this question is in the calculus section, I'm assuming you know how to take the derivative. We know that y = -2x2 + 2x + 3 is a parabola, so it has one vertex, which is a minimum. We can use the first derivative test to find this extreme point.First, take the derivative:y' = -4x + 2Next, set y' equal to zero:0 = -4x + 2Then solve for x:4x = 2x = 2This is the x-coordinate of the vertex. To find the y-coordinate, plug x = 2 back into the original equation:y = -2x2 + 2x + 3y = -8 + 4 + 3y = -1So the vertex is at (2, -1).
Factor 4x4 plus 1?
4x4 + 1 = (2x2 - 2x + 1)(2x2 + 2x + 1)
Vertex for y equals x2 plus 2x plus 1?
The vertex is at (-1,0).
How do you factor 2x squared plus 11x plus 12?
2x2 + 11x + 12 = 2x2 + 3x + 8x + 12 = x*(2x + 3) + 4*(2x + 3) = (2x + 3)*(x + 4)
What are the factors of 4x3 plus 10x2 plus 2x plus 5?
4x3+10x2+2x+5= (2x+5)(2x2+1)
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