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dietrich_harmon
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Order the group of quadratic functions from widest to narrowest graph.
 one year ago
 one year ago
dietrich_harmon Group Title
Order the group of quadratic functions from widest to narrowest graph.
 one year ago
 one year ago

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terenzreignz Group TitleBest ResponseYou've already chosen the best response.0
All these quadratic functions, before you even show them, see that coefficient of the x² ? The smaller the coefficient, the wider the graph ;)
 one year ago

dietrich_harmon Group TitleBest ResponseYou've already chosen the best response.1
WHAT
 one year ago

terenzreignz Group TitleBest ResponseYou've already chosen the best response.0
Let me rephrase that The smaller the absolute value of the coefficient of the x² part, the WIDER the graph. For example x² + 5x + 3 4x² 2x + 9 The first graph would be wider as the coefficient of x² there (1) is smaller than the coefficient of the x² in the second (4). BE CAREFUL, I said ABSOLUTE VALUE. So if you had x² + 5x + 3 4x² +2x  9 instead, the first graph is still wider even though 4 < 1. In other words, disregard the sign of the x², and the smaller the coefficient, the wider.
 one year ago

dietrich_harmon Group TitleBest ResponseYou've already chosen the best response.1
Short answer: y=2x^2 is the widest y=5x^2 is the narrowest Long answer: To solve, think about the numbers. Say x = 0. y=0 in all three problems then. Okay, now say x=3. y = 5x^2 = 5(3^2) = 45 *higher number "goes up faster" when graphed y = 4x^2 = 4(3^2) = 36 y = 2x^2 = 2(3^2) = 18 *lower number make a "wider" graph Basically, think about; y = Ax^2 The bigger 'A' is, the slimmer the graph. * if you want to get technical, no graph is "wider", since they all can reach to infinity & negative infinity in this case, but that's far outside the question...
 one year ago

terenzreignz Group TitleBest ResponseYou've already chosen the best response.0
Yeah, that. :)
 one year ago
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