Question

If the graph of the following parabola is shifted one unit left and two units up, what is the resulting equation in vertex form? x2 = 12y O A 6 - 2) = 12[y+1) O B. (x+2) = 12[y-1) O c. (x+1)=12(y-2) OD 6-1) =12(y+2)

Answer 1

Starting from

`x^2=12y`

Displacing the graph 1 unit to the left, we'll have:

`\begin{gathered} x^2=12y \\ \rightarrow(x+1)^2=12y \end{gathered}`

Displacing the graph 2 units up, we'll have:

`\begin{gathered} (x+1)^2=12y \\ \rightarrow(x+1)^2=12(y-2) \end{gathered}`

Thereby, the correct answer is: Option C