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y = x² - 4x convert from standard to vertex form​

Sagot :

Answer:

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

Step-by-step explanation:

To complete the square: add 4 to both sides because the product of 4 as 2 as the factor which 2 * 2 so [tex]2^{2}[/tex]

[tex]y + ? = x^{2} - 4x + ?[/tex]

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

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

Now we can factor the expression

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

Move the 4 to the other side to isolate y which changes the sign

[tex]y = (x-2)^{2} - 4[/tex]  

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