In this video, we graph the trinomial / quadratic function y = x2 - 4x - 12 by finding its concavity, y-intercept, using the turning point formulas and the quadratic formula for the x-intercepts. Remember, there are only 4 pieces of information you need to accurately sketch a parabola:
- Concavity - determined by whether the coefficient in front of the x2 term is positive or negative
- y-intercept - the value of the trailing free term
- Vertex or turning point - given by (-b/2a, -(b2-4ac)/4a)
- x-intercepts, if there are any - determined by the quadratic formula
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