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Which of the following represents this function written in standard form?

y=2(x+1)(x-6)

a. y=3x^2-10x-12
b.y=2x^2-10x+6
c. y=2x^2-5x-12
d. y=2x^2-14x+12
Which of the following represents this function written in standard form?

y=2(x+1)(x-6)

a. y=3x^2-10x-12
b.y=2x^2-10x+6
c. y=2x^2-5x-12
d. y=2x^2-14x+12

Respuesta :

MissPhiladelphia
Let us first write down the equation and try to bring it to the standard form. This will help in choosing the correct option.

y = 2(x+1)(x-6)
y = 2(x^2 - 6x + x - 6)
y = 2(x^2 - 5x - 6)
y = 2x^2 - 10x -12

From the above deduction, it can be easily concluded that the correct option among all the options that are given in the question is the first option or option "a". I hope that the answer has come to your help.

Answer:

[tex]y=2x^2-10x-12[/tex]

Step-by-step explanation:

[tex]y=2(x+1)(x-6)[/tex]

write the given function in standard form

Standard form is [tex]y=ax^2+bx+c[/tex]

[tex]y=2(x+1)(x-6)[/tex] multiply the parenthesis using FOIL method

[tex]y=2(x^2-6x+1x-6)[/tex]

multiply 2 inside the parenthesis

[tex]y=2(x^2-6x+1x-6)[/tex]

[tex]y=2x^2-12x+2x-12[/tex]

Combiene like terms

[tex]y=2x^2-10x-12[/tex]

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