Fill in the information about the parabolas below.
(a) For each parabola, choose whether it opens upward or downward.
y=−x2: (Choose one) vy=−31x2: (Choose one) vy=21x2: (Choose one) v (Choose one) v
(b) Choose the parabola with the narrowest graph.
y=−x2y=−31x2y=21x2y=−3x2
(c) Choose the parabola with the widest graph.
y=−x2y=−31x2y=21x2y=−3x2
The table shows some information about the profit made each day at a cricket club on 100 days.
(a) Complete the cumulative frequency table.
\begin{tabular}{|c|c|}
\hline Pront (£x) & \begin{tabular}{c}
Crmulative \\
frequency
\end{tabular} \\
\hline 0≤x<50 & \\
\hline 0≤x<100 & \\
\hline 0≤x<150 & \\
\hline 0≤x<200 & \\
\hline 0≤x<250 & \\
\hline 0≤x<300 & \\
\hline
\end{tabular}
(b) On the grid, draw a cumulative frequency graph for this information.
\begin{tabular}{|c|c|}
\hline Proft ( £x) & Frequency \\
\hline 0≤x<50 & 10 \\
\hline 50≤x<100 & 15 \\
\hline 100≤x<150 & 25 \\
\hline 150≤x<200 & 30 \\
\hline 200≤x<250 & 5 \\
\hline 250≤x<300 & 15 \\
\hline
\end{tabular}
(1)
(2)
(c) Use your graph to find an estimate for the number of days on which the profit was less than £125
days
(d) Use your graph to find an estimate for the interquartile range.
f(x)=−3x2+2x+3 Round to the nearest hundredth if necessary.
If there is more than one x-intercept, separate them If applicable, click on "None".
\begin{tabular}{|ll|}
\hline vertex: & (II, □ \\
x-intercept(s): & □ \\
\hline
\end{tabular}