- Complete the table of values for the equation `y=8-2x^2`. (1 mark)
\begin{array} {|l|c|c|c|c|c|c|}
\hline
\rule{0pt}{2.5ex} x \rule[-1ex]{0pt}{0pt} & -3 & -2 & -1 & \ \ 0\ \ & \ \ 1\ \ & \ \ 2\ \ & \ \ 3 \ \ \\
\hline
\rule{0pt}{2.5ex} y \rule[-1ex]{0pt}{0pt} & & & 6 & & & & -10 \\
\hline
\end{array}
- Sketch the graph `y=8-2x^2` (2 marks)
- For what range of `x`-values is the parabola concave down? (1 mark)
--- 2 WORK AREA LINES (style=lined) ---
i.
\begin{array} {|l|c|c|c|c|c|c|}
\hline
\rule{0pt}{2.5ex} x \rule[-1ex]{0pt}{0pt} & -3 & -2 & -1 & \ \ 0\ \ & \ \ 1\ \ & \ \ 2\ \ & \ \ 3 \ \ \\
\hline
\rule{0pt}{2.5ex} y \rule[-1ex]{0pt}{0pt} & -10 & 0 & 6 & 8 & 6 & 0 & -10 \\
\hline
\end{array}
ii.
iii. `text{The parabola is concave down for all values of}\ x.`
i.
\begin{array} {|l|c|c|c|c|c|c|}
\hline
\rule{0pt}{2.5ex} x \rule[-1ex]{0pt}{0pt} & -3 & -2 & -1 & \ \ 0\ \ & \ \ 1\ \ & \ \ 2\ \ & \ \ 3 \ \ \\
\hline
\rule{0pt}{2.5ex} y \rule[-1ex]{0pt}{0pt} & -10 & 0 & 6 & 8 & 6 & 0 & -10 \\
\hline
\end{array}
ii.
iii. `text{The parabola is concave down for all values of}\ x.`