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Math Expert V
Joined: 02 Sep 2009
Posts: 58320
If the equation of the parabola in the coordinate plane above is  [#permalink]

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Difficulty:   45% (medium)

Question Stats: 59% (02:04) correct 41% (02:35) wrong based on 44 sessions

HideShow timer Statistics If the equation of the parabola in the coordinate plane above is $$y = (x - h)^2 + k$$ and (–3, n) is a point on the parabola, what is the value of n?

A. 15
B. 18
C. 20
D. 25
E. 30

Attachment: capture (5).JPG [ 19.19 KiB | Viewed 728 times ]

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Re: If the equation of the parabola in the coordinate plane above is  [#permalink]

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Bunuel wrote: If the equation of the parabola in the coordinate plane above is $$y = (x - h)^2 + k$$ and (–3, n) is a point on the parabola, what is the value of n?

A. 15
B. 18
C. 20
D. 25
E. 30

Attachment:
capture (5).JPG

chetan2u : hello could you please advise on how to solve this question on parabola...
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Math Expert V
Joined: 02 Aug 2009
Posts: 7953
Re: If the equation of the parabola in the coordinate plane above is  [#permalink]

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Archit3110 wrote:
Bunuel wrote: If the equation of the parabola in the coordinate plane above is $$y = (x - h)^2 + k$$ and (–3, n) is a point on the parabola, what is the value of n?

A. 15
B. 18
C. 20
D. 25
E. 30

Attachment:
capture (5).JPG

chetan2u : hello could you please advise on how to solve this question on parabola...

HI..
In very basic terms, h and k are the distance of x axis and y axis from min/max point
$$y = (x - h)^2 + k$$ and the minimum value is at (2,0)
so looking at the sketch we can say h is 2 and k is 0...
so the equation becomes $$y = (x - 2)^2 + 0$$
Now (-3, n) is also on the parabola, so substitute x as -3..
$$y =n= (-3 - 2)^2 + 0=(-5)^2=25$$

D
_________________ Re: If the equation of the parabola in the coordinate plane above is   [#permalink] 19 Dec 2018, 09:10
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If the equation of the parabola in the coordinate plane above is

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