Question

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

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

A. y=2x^2-5x-12
B. y=2x^2-10x+6
C. y=2x^2-14x+12
D. y=2x^2-10x-12

Answer 1

The answer is D because simplifying it equals the equation given.

Answer 2

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

Explanation:

Given : Function
`y=2(x+1)(x-6)`

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

Solution :

Step 1 - Write the function

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

Step 2 - Solve by multiplying the brackets

`y=2(x^2-6x+x-6)`

`y=2(x^2-5x-6)`

Step 3 - Multiply bracket by 2 and solve

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

Therefore, The standard form of the function is
`y=2x^2-10x-12`

So, Option D is correct.