Respuesta :

Answer:

The vertex of the graph of y = (x - 1)2 - 5 is

(1, -5)

The vertex of the graph of y = -4 (x + 3)2 + 2 is

(-3, 2)

Step-by-step explanation:

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The vertex of the given equation is [tex](1,-5)[/tex].

Given:

The given equation is:

[tex]y=(x-1)^2-5[/tex]               ...(i)

Explanation:

The vertex form of a quadratic equation is:

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

Where, a is the constant and (h,k) is the vertex.

On comparing (i) and (ii), we get

[tex]h=1[/tex]

[tex]k=-5[/tex]

Therefore, the vertex of the given equation is [tex](1,-5)[/tex].

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