Question

If an equation has a discriminant of zero, how many times will the graph touch the x–axis?

Answer 1

Using the Quadratic formula, this means that everything under square root sign ends up being 0.

Answer 2

So, I would think that you would end up with an answer of x = some value....a fraction or maybe even a whole number. This would result in a straight line at x = the value. The graph would intersect the x-axis at that value....one time. A vertical line through that point.