Question

Angela started to convert a quadratic equation into vertex form. She completed asmuch as she could before she got stuck. Angela has called you to assist her with theproblem. What number is she missing from both sides of the equation?

Answer 1

Given the vertex form of a quadratic equation as

`y+k=(x-h)^2`

Write the equation given in the question in vertex form

`\begin{gathered} y=3x^2+12x-14 \\ y+14=3x^2+12x \\ y+14=3(x^2+4x) \\ y+14+3(4)=3(x^2+4x+4) \end{gathered}`

Hence, the number she is missing from both sides of the equation is 4