Which translation describe the information of the graph y=x^2+bx-6

Answer 1

y intercept = 6

y+6 + (b/2)^2 = x^2 + bx + (b/2)^2

y+6 +b^2/4 = (x+b/2)^2 is an upward opening parabola with vertex and minimum point (-b/2, 6+b^2/4)

y=x^2 +bx -6

(b/2)^2 + 6= x^2 + bx + (b/2)^2 -6

6+ b^2/4 = (x+b/2)^2

x+b/2 = + or - (6+b^2/4)

x =-b/2 + or - (6+b^2/4) are the two x intercpts

axis of symmetry is x=-b/2