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Ray Of Light [21]
3 years ago
14

The vertex if the parabola below is at the point (2,4) and the point (3,6) is on the parabola. What is the equations the parabol

a
Mathematics
2 answers:
Sloan [31]3 years ago
4 0
I think the equation is 2(x-2)^2+4
3241004551 [841]3 years ago
4 0

Answer:

y = 2(x-2)^2+4  is the equations the parabola

Step-by-step explanation:

The standard equation of parabola is given by:

y = a(x-h)^2+k           ....[1]

where,

a is the non zero real number and

(h, k) is the vertex of the parabola.

As per the statement:

The vertex if the parabola below is at the point (2,4)

⇒(h, k) = (2, 4)

⇒h =2 and k =4

Substitute these in [1] we have;

y = a(x-2)^2+4

Since, the point (3,6) is on the parabola

⇒x = 3 and y = 6

then;

6 = a(3-2)^2+4

6 = a+4

Subtract 4 from both sides we have:

2= a

or

a = 2

⇒y = 2(x-2)^2+4

Therefore, the equations the parabola is, y = 2(x-2)^2+4

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