Question

Rewrite the quadratic function in intercept or factored form

Y=9+12x+4x^2

Answer 1

Answer:
`y=(2x+3)^(2)`

Explanation:

1. Rewrite the quadratic function:

`y=(2x)^(2)+12x+(3)^(2)`

2. By the perfect trinomial square:

`a^(2)+2ab+b^(2)=(a+b)^(2)`

3. You have that
`2ab=2*3*2x=12x`

4. Therefore, you can write the function in the following intercept form:

`y=(2x+3)^(2)`