Respuesta :

Given:

[tex]y=x^2-6x-9[/tex]

Required:

Recognition of the graph of the given equation

explanation:

By pitting x = 0

[tex]y=\text{ 0}^2-6(0)-9[/tex][tex]=-9[/tex]

By putting x = 1

[tex]\begin{gathered} y=\text{ 1}^2-6(1)-9 \\ =\text{ -14} \end{gathered}[/tex]

Hence the graph cuts the y-axis at -9 for x = 0 and y = -14 for x = 1. So our required graph is the first one.

Final Answer:

Option A