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Naddika [18.5K]
3 years ago
6

The vertex of a parabola is (3,-2) and another point on the parabola is (2,3) find the equation of the parabola in vertex form

Mathematics
1 answer:
jonny [76]3 years ago
4 0

Answer:

y = 5 ( x - 3 ) ^2 -2

OR

y+2= 5 ( x - 3 ) ^2

Step-by-step explanation:

Vertex form of a parabola is given as:

y = a ( x - h ) ^2 + k

Where (h,k) is the vertex and (x,y) are the points on the parabola.

We are given that, the vertex is (3, -2) and another point on parabola is given as (2, 3).

h = 3,k = -2

First of all, putting the vertex in the vertex equation as given above:

y = a ( x - 3 ) ^2 + (-2)

Now, putting the values of x, y as 2, 3 and let us find the unknown variable a:

3 = a ( 2 - 3 ) ^2 + (-2)\\\Rightarrow 3 = a -2\\\Rightarrow a = 5

Therefore, the equation in vertex form can be written as:

y = 5 ( x - 3 ) ^2 -2

OR

y+2= 5 ( x - 3 ) ^2

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