Question 79012
this is the equation of a parabola with the axis of symmetry parallel to the y-axis and opening upward


the axis of symmetry is midway between the points where the parabola crosses the x-axis (y=0)


{{{x^2-3x-10=0}}} ... factoring gives (x-5)(x+2)=0 ... so the crossing points are (5,0) and (-2,0)


the axis of symmetry goes thru (1.5,0) and the equation is x=1.5 ... this is also the x value for the vertex


plugging into the original equation, y=2.25-4.5-10 ... so the vertex is (1.5,-12.25)