juan3014685
contestada

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

Respuesta :

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

Answer:

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

Step-by-step explanation:

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

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

Solution :

Step 1 - Write the function

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

Step 2 - Solve by multiplying the brackets

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

[tex]y=2(x^2-5x-6)[/tex]

Step 3 - Multiply bracket by 2 and solve

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

Therefore, The standard form of the function is [tex]y=2x^2-10x-12[/tex]

So, Option D is correct.

Otras preguntas