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

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Math Expert
Joined: 02 Sep 2009
Posts: 52433
Does the graph of y = mx^2 + h intersect the x–axis?  [#permalink]

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17 Sep 2018, 21:07
00:00

Difficulty:

55% (hard)

Question Stats:

54% (01:02) correct 46% (01:14) wrong based on 37 sessions

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

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

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Re: Does the graph of y = mx^2 + h intersect the x–axis?  [#permalink]

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18 Sep 2018, 01:10
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

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Re: Does the graph of y = mx^2 + h intersect the x–axis? &nbs [#permalink] 18 Sep 2018, 01:10
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