Question

graph this equation:6x^2+18x-24=0

Answer 1

Factor:

6(x^2+3x-4)=6(x+4)(x-1)
So graph has zeroes at x=-4 and +1
Leading coefficient is positive, so minimum.
A minimum is at x=(-4+1)/2=-1.5, which is also where the vertical line of symmetry intersects the curve.
Minimum =(-1.5, f(-1.5)) = (-1.5, -37.5)
The y-intercept is at (0,24).
There should be sufficient information for you to draw the graph.