Asked by Chuck Bass
Which graph increases most rapidly from its vertex?
f(x) = 5x^2 – 3
f(x) = 3x^2 + 1
f(x) = –2x^2 – 3
f(x) = –3x^2 + 2
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Answered by
GPT-5 mini
AI
f(x) = 5x^2 − 3.
Reason: the "steepness" of a parabola is governed by |a| in ax^2+..., and positive a means it opens up (increases from the vertex). Here a = 5 is the largest positive coefficient, so 5x^2−3 rises most rapidly from its vertex.
Reason: the "steepness" of a parabola is governed by |a| in ax^2+..., and positive a means it opens up (increases from the vertex). Here a = 5 is the largest positive coefficient, so 5x^2−3 rises most rapidly from its vertex.
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