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

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Bunuel
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If the equation of the parabola in the coordinate plane above is [#permalink] New post   19 Dec 2018, 01:20
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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

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chetan2u
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Re: If the equation of the parabola in the coordinate plane above is [#permalink] New post   19 Dec 2018, 09:10
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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

Show Spoiler
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 [#permalink] New post   19 Dec 2018, 08:45
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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

Show Spoiler
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] New post   06 Sep 2020, 08:07
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h= -2 (from diagram)
k=0 (from diagram)
x= -3 (given in question)
replace on equation => n = (-3-2)^2
n=5
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Re: If the equation of the parabola in the coordinate plane above is [#permalink] New post   02 Jan 2023, 08:46

Asked: 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?

h = 2
k = 0

Equation of the parabola :

y = (x-2)^2

Since Point (-3,n) lies on the parabola, it should satisfy its equation.

n = (-3-2)^2 = 5^2 = 25

IMO D
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Re: If the equation of the parabola in the coordinate plane above is [#permalink]
02 Jan 2023, 08:46
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