Question

The function below is written in vertex form or intercept form. Rewrite them in standard form and show your work.

y = (x+4)(x+3)

Answer 1

y = x²+7x+12

Explanation:

Given equation is :

y = (x+4)(x+3)

We have to transform above equation into standard form.

y = ax²+bx+c is standard form of quadratic equation.

y = (x+4)(x+3)

Multiply each term of first parentheses to each term of second parentheses.

y = x(x+3)+4(x+3)

y = x(x)+x(3)+4(x)+4(3)

y = x²+3x+4x+12

add the coeficients of like terms

y = x²+7x+12 is standard form of given equation.

Answer 2

The standard form as
`y=x^2+7x+12`

Explanation:

Given: A function which is written in vertex form or intercept form.

We have to re-write it in standard form that in terms of
`y=ax^2+bx+c`

Given
`y = (x+4)(x+3)`

Multiply each term ,

`y = x(x+3)+4(x+3)`

`y= x^2+3x+4x+12`

`y=x^2+7x+12`

Thus , we have obtained the standard form as
`y=x^2+7x+12`