Kenneth S. | Algebra/Trig/Precalculus/Calculus Instructor Can Be Your TutorAlgebra/Trig/Precalculus/Calculus Instru...
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In the case you present, which is a perfect square trinomial, that will help you find its single zero (so-called double root), which is negative. (Descartes would tell you there are no positive roots). You should have very little trouble identifying the y-intercept.
You can find the vertex, easily, using the formula x = -b/(2a). Then sketch the graph; if you want, you could plot other points.