Question

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

Answer 1

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 2

`y=2x^2-10x-12`

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`