SOLUTION: Parabolas: Write each question in standard form. Identify the vertex, axis of symmetry and direction of opening of the parabola. y=x^2+2x+2

Question 737563: Parabolas:
Write each question in standard form. Identify the vertex, axis of symmetry and direction of opening of the parabola.
y=x^2+2x+2
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Write each question in standard form. Identify the vertex, axis of symmetry and direction of opening of the parabola.
y=x^2+2x+2
complete the square:
y=(x^2+2x+1)-1+2

This is an equation of a parabola that opens upward.
Its standard form of equation: , (h,k)=(x,y) coordinates of the vertex, A is a coefficient that affects the slope or steepness of the curve.
..
For given parabola:
vertex: (-1,1)
axis of symmetry: x=-1
parabola opens upward.
see graph below as a visual check:

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