Question

Which steps transform the graph of \(y = x²~to~y = –(x – 3)² + 2\)?

Translate 3 units to the right; translate up 2 units.

Reflect across the x-axis; translate 3 units to the left; translate down 2 units.

Translate 3 units to the left; translate down 2 units.

Reflect across the x-axis; translate 3 units to the right; translate up 2 units.

Answer 1

\(\large \textit{parent function }x^2\\ \quad \\
\begin{array}{lccllll}
-(x&-3)^2&+2\\
\uparrow&\uparrow&\uparrow&\\
\textit{flip upside-down}&\textit{horizontal shift}&\textit{vertical shift}
\end{array}\)