Question 584867: Write each equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola .
y= x^2 +3x+1
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Write each equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola .
y= x^2 +3x+1
complete the square
y=(x^2+3x+9/4)+1-9/4
y=(x+3/2)^2-5/4
This is an equation of a parabola that opens upwards of the standard form: y=(x-h)^2+k, (h,k) being the (x,y) coordinates of the vertex
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