Question

Need help answering this question it will eventually have 4 parts

Answer 1

`\begin{gathered} x^2=\text{ -4y} \\ \frac{x^2}{\text{ -4}}=y \\ \text{ -}(1)/(4)x^2=\text{ y} \\ \\ \text{ To find the vertex we must use the following formula: } \\ y=\text{ a\lparen x-h\rparen}^2\text{ + k } \\ h=\text{ 0 } \\ k=0 \\ \\ vertex\text{ = \lparen h,k\rparen} \\ vertex=\text{ \lparen0,0\rparen} \end{gathered}`
`\begin{gathered} focus=\text{ \lparen h, k+a\rparen } \\ focus=\text{ \lparen0, 0 -}(1)/(4)) \\ focus\text{ = \lparen0, -}(1)/(4)) \end{gathered}`