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

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) (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)

RELATED QUESTIONS
Identify the vertex, axis of symmetry and min/max value... (answered by lwsshak3)

Find the vertex axis of symmetry (XS) max or min function value X-intercepts Y intercept... (answered by stanbon)

y=2x^2+x-6 Find the Vertex, Min or Max, Zero's, Y-intercept, Axis of Symmetry, Wider or... (answered by Gogonati)

Graph y=-1/2(x-2)^2+4 an give the vertex coordinates Direction opening Equation of... (answered by Fombitz)

1. State the key features listed for the following parabola: f(x)=-0.5(x+1)2-7 (answered by math_tutor2020)

Graphing Quadratics - Algebra 2 y= x^2-2x+2 i need to find out: Axis of symmetry:... (answered by richwmiller)

find the vertex, line of symmetry, min or max and graph.... (answered by ewatrrr)

Find vertex, line of symmetry, max/min value of the quadratic function, and graph the... (answered by solver91311)

let f(x)=-1/2x^2+2x+3 find and graph: a) the x-coordinate of vertex b) the... (answered by Fombitz)