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Does the graph of y = mx^2 + h intersect the x–axis?

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Math Expert
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Joined: 02 Sep 2009
Posts: 49990
Does the graph of y = mx^2 + h intersect the x–axis?  [#permalink]

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New post 17 Sep 2018, 22:07
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

47% (01:02) correct 53% (01:10) wrong based on 30 sessions

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Joined: 08 Jul 2010
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Location: India
GMAT: INSIGHT
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Re: Does the graph of y = mx^2 + h intersect the x–axis?  [#permalink]

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New post 18 Sep 2018, 02:10
Bunuel wrote:
Does the graph of y = mx^2 + h intersect the x–axis?

(1) m < 0
(2) h > 0


For a quadratic equation \(ax^2+bx+c\) to intersect with x axis \(b^2-4ac≥0\)

i.e. for \(y = mx^2 + h, 0-4mh ≥0\)

Combining both statements answers the questions as we need signs of both m and h hence

Answer:Option C
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Re: Does the graph of y = mx^2 + h intersect the x–axis? &nbs [#permalink] 18 Sep 2018, 02:10
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Does the graph of y = mx^2 + h intersect the x–axis?

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