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If y=4+(x-3)^2, then y is least

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If y=4+(x-3)^2, then y is least  [#permalink]

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New post 30 Oct 2018, 07:43
1
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A
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Difficulty:

  15% (low)

Question Stats:

86% (00:29) correct 14% (00:34) wrong based on 42 sessions

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If y=4+(x-3)^2, then y is least when x

A. 14
B. 13
C. 0
D. 3
E. 4

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If y=4+(x-3)^2, then y is least  [#permalink]

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New post 30 Oct 2018, 07:48
y=4+(x-3)^2

y is the sum of 2 positive numbers

4 is the first one and (x-3)^2 is the second one.

If we are searching the least value of y, we should search the value of x that gives us the least value of (x-3)^2...which is clearly 3.

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If y=4+(x-3)^2, then y is least  [#permalink]

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New post 30 Oct 2018, 07:52
OA:D

\(y=4+(x-3)^2\)

\({(x-3)^2}\geq{0}\)

Least value of \((x-3)^2\) is \(0\) at \(x=3\).

Least value of \((x-3)^2\) will lead to least value of \(y\) at \(x=3\).
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Re: If y=4+(x-3)^2, then y is least  [#permalink]

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New post 30 Oct 2018, 08:19
putting 3 in the eq- y=4+(x-3)^2
y=4 (least)

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Re: If y=4+(x-3)^2, then y is least &nbs [#permalink] 30 Oct 2018, 08:19
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If y=4+(x-3)^2, then y is least

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