- Complete the table of values for the equation `y=2-x^2/2`. (1 mark)
\begin{array} {|l|c|c|c|c|}
\hline
\rule{0pt}{2.5ex} x \rule[-1ex]{0pt}{0pt} & -2 & -1 & \ \ 0\ \ & \ \ 1\ \ & \ \ 2 \ \ \\
\hline
\rule{0pt}{2.5ex} y \rule[-1ex]{0pt}{0pt} & & & 2 & & 0 \\
\hline
\end{array}
- Sketch the graph `y=2-x^2/2` (2 marks)
- For what range of `x`-values is the parabola concave up? (1 mark)
--- 2 WORK AREA LINES (style=lined) ---
i.
\begin{array} {|l|c|c|c|c|}
\hline
\rule{0pt}{2.5ex} x \rule[-1ex]{0pt}{0pt} & -2 & -1 & \ \ 0\ \ & \ \ 1\ \ & \ \ 2 \ \ \\
\hline
\rule{0pt}{2.5ex} y \rule[-1ex]{0pt}{0pt} & 0 & \frac{3}{2} & 2 & \frac{3}{2} & 0 \\
\hline
\end{array}
ii.
iii. `text{The parabola is concave down for all values of}\ x.`
`=>\ text{There are no values of}\ x\ text{where the graph is concave up.}`
i.
\begin{array} {|l|c|c|c|c|}
\hline
\rule{0pt}{2.5ex} x \rule[-1ex]{0pt}{0pt} & -2 & -1 & \ \ 0\ \ & \ \ 1\ \ & \ \ 2 \ \ \\
\hline
\rule{0pt}{2.5ex} y \rule[-1ex]{0pt}{0pt} & 0 & \frac{3}{2} & 2 & \frac{3}{2} & 0 \\
\hline
\end{array}
ii.
iii. `text{The parabola is concave down for all values of}\ x.`
`=>\ text{There are no values of}\ x\ text{where the graph is concave up.}`