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Write the equation of the parabola in vertex form.
vertex (3,3), point (2, - 1)

Sagot :

Trancescientidn

Step-by-step explanation:

The vertex form of a parabola is given by

[tex]y = a(x - h)^2 + k[/tex]

where (h, k) are the coordinates of the vertex of the parabola. So we can write our parabola as

[tex]y = a(x - 3)^2 + 3[/tex]

We know that our curve goes through the point (2, -1) so we can solve for the constant a as follows:

[tex]-1 = a(2 - 3)^2 + 3 \Rightarrow -1 = a + 3[/tex]

or

[tex]a = -4[/tex]

Therefore, the vertex form of the equation for the parabola is

[tex]y = -4(x - 3)^2 + 3[/tex]

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