Question

Need help with this questionAnd I know it looks cropped but yes that is the full question

Answer 1

For

`y=√(-4x-36)`

when it changed from,

`y=√(x)`

the translation process as:

`\begin{gathered} y=√(-4x-36) \\ y=√(-4(x+9)) \\ y=2√(-(x+9)) \\ \Rightarrow y=2√(-x-9) \end{gathered}`

It stretched by a factor of 2,

`y=√(x)\rightarrow y=2√(x)`

Reflected over the y-axis

`y=2√(x)\rightarrow y=2√(-x)`

Translated 9units leftwards

`y=2√(-x)\rightarrow y=2√(-x-9)`

Hence, the fourth option is correct.