Question

which function is equivalent to y=3(x+2)^2+7(a) y=3x^2+12x+33(b) y=3x^2+19(c)y=3x^2+12x+19(d)y=3x^2+33

Answer 1

$\begin{gathered} \text{The function is defined as:} \\ y=3(x+2)^2+7 \\ \text{Expanding, we have} \\ y=3(x^2+4x+4)+7 \\ \Rightarrow y=3x^2+12x+12+7 \\ \Rightarrow y=3x^2+12x+19 \\ \text{Hence the function }y=3(x+2)^2+7\text{ is equivalent to }y=3x^2+12x+19 \\ \text{The correct option is C} \end{gathered}$