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If the equation of the parabola in the coordinate plane above is

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

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New post 19 Dec 2018, 00:20
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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
capture (5).JPG [ 19.19 KiB | Viewed 355 times ]

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

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New post 19 Dec 2018, 07:45
Bunuel wrote:
Image
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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Re: If the equation of the parabola in the coordinate plane above is  [#permalink]

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New post 19 Dec 2018, 08:10
Archit3110 wrote:
Bunuel wrote:
Image
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..
\(y =n= (-3 - 2)^2 + 0=(-5)^2=25\)

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Re: If the equation of the parabola in the coordinate plane above is &nbs [#permalink] 19 Dec 2018, 08:10
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