Question 350752: Can you please explain to me two ways in which quadratic and absolute value graphs are similar and two ways in which they are different. Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website! The two are similar as they both have vertical symmetry. In other words, if you divide the graph down the middle, one side is merely a reflection of the other. Also, they both have a vertex (either a highest or lowest point). Finally, both quadratic and absolute value equations can either have 0, 1, or 2 x-intercepts.
However, a quadratic plots a parabola (a bowl shaped curve) while an absolute value graph plots a "V" shaped graph (see below). Also, the vertices of each are different. The quadratic has a smooth vertex while an absolute value has a sharp vertex. Also, notice how the quadratic has faster growth than the absolute value.
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