Question

Please help convert this from quadratic form to vertex form

Please show all steps thank you so much!!!

Answer 1

`y=3x^2+12x+11`

Explanation:

To convert this equation into standard form simply expand the equation out using PEMDAS.

PEMDAS

To solve this question you must remember the order of PEMDAS

1) Parentheses

2) Exponents

3) Multiplication and Division

4) Addition and Subtraction

Expanding the Equation

Expand the binomial by raising (x+2) to the second power.

• 
  `y=3(x^2+4x+4)-1`

Next, using the distributive property, distribute the 3.

• 
  `y=3x^2+12x+12-1`

Then, combine like terms.

• 
  `y=3x^2+12x+11`