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klemol [59]
3 years ago
7

Which of the quadratic functions has the narrowest graph?

Mathematics
1 answer:
topjm [15]3 years ago
6 0

A quadratic function's graph being wide or narrow is determined or depended on a-term:

\large{y = a {x}^{2}  + bx + c}

If |a| has a lot of value, for example a = 2 or a = 100. The graph will get narrower if increasing the value of |a|. On the other hand, If |a| has small value, for example a = 1/2 or a = 1/10000. The graph would be wide.

Also it does not matter if a-term is negative or not since a-term being positive or negative determines if a parabola is upward or downward. Only |a| determines how narrow/wide the graph is.

From the question, it is clear that the parabola y = 2x^2 is the narrowest graph since it has the highest |a| value out of all choices.

Answer

  • y = 2x^2
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