Quadratic Equations

NZ Level 7 (NZC) Level 2 (NCEA)

Interpret key features of quadratic graphs

The Gateway Arch in St. Louis, Missouri, is $190$190 m tall.

We can model the behaviour of objects falling from the arch using Galileo's formula for falling objects: $d=16t^2$`d`=16`t`2, where $d$`d` is distance fallen in metres and $t$`t` is time in seconds since the object was dropped. The graph of this relationship is drawn here.

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What does the point at $\left(0,0\right)$(0,0) represent?

The height of the arch.

A

The position of the object after it has fallen to to the ground.

B

The initial distance fallen by the object.

C

The height of the arch.

A

The position of the object after it has fallen to to the ground.

B

The initial distance fallen by the object.

C

Easy

Less than a minute

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Display the graphs of linear and non-linear functions and connect the structure of the functions with their graphs

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