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Complete the square to find the vertex of this parabola

Complete The Square To Find The Vertex Of This Parabola class=

Answer :

Answer:

[tex](2,-6)[/tex]

Step-by-step explanation:

[tex]x^2-4x+y+10=0[/tex]

[tex]y=x^2+4x-10[/tex]

[tex]y=-(x^2-4x)-10[/tex]

[tex]=-(x^2-4x+4)-10+4[/tex]

[tex]=-(x-2)^2-6[/tex]

[tex]y=-(x-2)^2+(-6)[/tex]

[tex]h=2 ~and~ k=-6[/tex]

So, vertex → (2,-6)

[tex]------------[/tex]

hope it helps..

have a great day!!

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