Solution:
Given:
[tex]y=-7(x+9)^2[/tex]
The parent function is;
[tex]y=x^2[/tex]
The following transformations take place from the parent function.
[tex]\begin{gathered} y=(x+9)^2 \\ Shifts\text{ left 9 units} \end{gathered}[/tex]
[tex]\begin{gathered} y=7(x+9)^2 \\ Vertically\text{ stretches by a factor of 7} \end{gathered}[/tex]
[tex]\begin{gathered} y=-7(x+9)^2 \\ Reflects\text{ over the x-axis} \end{gathered}[/tex]
