Karen Morrison and Nick Hamshaw Solutions for Exercise 2: Exercise 18.2

Construct a table of values of $y=x^2+2x-3$ from $-3\le x\le 2$ and plot the graph.   

Using values of $x$ from $0$ to $4$, construct a table of values and plot the graph of $y=-x^2-4x$    

Using values of $x$ from $-6$ to $0$, construct a table of values and plot the graph of $y=-x^2-6x-5$     

People who design water displays (often set to music) need to know how high water will rise from a jet and how long it will take to return to the pool. This graph shows the height of a water arc from a fountain (in metres) over a number of seconds. What was the greatest height (in metres) reached by the water arc.

People who design water displays (often set to music) need to know how high water will rise from a jet and how long it will take to return to the pool. This graph shows the height of a water arc from a fountain (in metres) over a number of seconds. How long (in seconds) did it take the water to reach the greatest height?

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People who design water displays (often set to music) need to know how high water will rise from a jet and how long it will take to return to the pool. This graph shows the height of a water arc from a fountain (in metres) over a number of seconds. For how long was the water arc above a height of $2.5 \mathrm{m}$.

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People who design water displays (often set to music) need to know how high water will rise from a jet and how long it will take to return to the pool. This graph shows the height of a water arc from a fountain (in metres) over a number of seconds. How far (in meters) did the water rise in the first second?

People who design water displays (often set to music) need to know how high water will rise from a jet and how long it will take to return to the pool. This graph shows the height of a water arc from a fountain (in metres) over a number of seconds. Why do you think this graph shows only positive values of height.