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


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

Ay=3x^2-10x-12

b.y=2x^2-10x+6

Cy=2x^2-5x-12
Dy=2x^2-14x+12

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


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

Ay=3x^2-10x-12

b.y=2x^2-10x+6

Cy=2x^2-5x-12
Dy=2x^2-14x+12

Verified Answer :

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:

\(y=2x^2-10x-12\)

Step-by-step explanation:

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

write the given function in standard form

Standard form is \(y=ax^2+bx+c\)

\(y=2(x+1)(x-6)\) multiply the parenthesis using FOIL method

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

multiply 2 inside the parenthesis

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

\(y=2x^2-12x+2x-12\)

Combiene like terms

\(y=2x^2-10x-12\)

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