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

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CR Forum Moderator
Joined: 25 Apr 2018
Posts: 379
If y=4+(x-3)^2, then y is least  [#permalink]

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30 Oct 2018, 07:43
1
00:00

Difficulty:

5% (low)

Question Stats:

87% (00:32) correct 13% (00:58) wrong based on 52 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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Manager
Status: Quant Expert Q51
Joined: 02 Aug 2014
Posts: 106
If y=4+(x-3)^2, then y is least  [#permalink]

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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.

Click Here to see a similar problem that i solved on my channel
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If y=4+(x-3)^2, then y is least  [#permalink]

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30 Oct 2018, 07:52
1
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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Joined: 30 Oct 2018
Posts: 44
Re: If y=4+(x-3)^2, then y is least  [#permalink]

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

Ans- (D)
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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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