SOLUTION: Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of each function. Is the vertex a maximum or minimum? y=x^2-3x+2

Question 730182: Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of each function. Is the vertex a maximum or minimum?
y=x^2-3x+2
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of each function. Is the vertex a maximum or minimum?
y=x^2-3x+2
***
Standard form of equation for a parabola(sometimes referred to as the vertex form):
y=A(x-h^2+k, (h,k)=(x,y) coordinates of the vertex. A is a multiplier which affects the slope or steepness of the curve. If A>0, the parabola opens up and has a minimum. If A<0, the parabola opens down and has a maximum. The y-coordinate of the vertex is the maximum or minimum value occurring at the x-coordinate of the vertex.
..
For given equation:y=x^2-3x+2
complete the square:
y=(x^2-3x+9/4)-9/4+2
y=(x-3/2)^2-1/4
A=1, so parabola opens up and has a minimum at coordinates of the vertex
vertex: (3/2,-1/4)
Axis of symmetry: x=3/2
See graph below as a visual check:

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