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Which standard form equation below correctly represents the quadratic function
y = -1/3(x-3)² + 2
1) y = -1/3x² - 2x -1
2) y = -1/3x² + 2x + 5
3) Now of the choices are correct
4) y = -1/3x² + 2x - 1

Respuesta :

bayosanuade

Answer: 4) y = -1/3x² + 2x - 1

Step-by-step explanation:

Given :

y = [tex]\frac{-1}{3}[/tex][tex](x-3)^{2}[/tex] + 2

Expanding (x-3)² will give :

[tex]x^{2}[/tex] - 6x + 9

substituting into the function , we have :

y =   [tex]\frac{-1}{3}[/tex][tex] ( [tex]x^{2}[/tex] - 6x + 9 ) + 2

Expanding , we have

y = [tex]\frac{-1}{3}[/tex][tex]x^{2}[/tex] + 2x - 3 + 2

y = [tex]\frac{-1}{3}[/tex][tex]x^{2}[/tex] + 2x - 1

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