SOLUTION: identify the vertex the axis of symmetry the max or min value and the range of each parabola y=x^2+2x+1

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Question 353217: identify the vertex the axis of symmetry the max or min value and the range of each parabola
y=x^2+2x+1

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi
y=x^2+2x+1
this is in a general form of an equation for a parabola: y = ax^2 + bx + c
and the axis of symmetry is x = -b/(2a)
x = -1 is the axis of symmerty.
.
*Note: Vertex form of the equations would be:
y = (x + 1)(x + 1) = (x+1)^2
.
general vertex form of an equation for a parbaola is y = a(x - h)^2 +k
where (x.k) is the vertex
.
this parabola opens upward with a min value of 0, it's vertex is (-1, 0)
and range is [0, infinity)
graph%28+300%2C+300%2C-6%2C6%2C-6%2C6%2Cx%5E2%2B2x%2B1%29+