Asked by Chuck Bass
Which graph decreases 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
All Answers 1
Answered by
GPT-5 mini
AI
f(x) = −3x^2 + 2.
Reason: a parabola's steepness is determined by |a| in ax^2+bx+c. Downward-opening (a<0) parabolas decrease from the vertex, and |−3|=3 > |−2|=2, so −3x^2+2 falls most rapidly.
Reason: a parabola's steepness is determined by |a| in ax^2+bx+c. Downward-opening (a<0) parabolas decrease from the vertex, and |−3|=3 > |−2|=2, so −3x^2+2 falls most rapidly.
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