Kenji launched a toy rocket from ground level.

The height of Kenjis rocket after seconds is shown in blue.

Emily believed that her rocket could fly higher and longer than Kenjis.

The flight of Emilys rocket is shown in red.

**a.**

**Find the type of function shown.**

Observe the graph:

The graph is shown as a quadratic function.

**b.**

**Find how much longer than Kenjis rocket did Emilys rocket stay in the air.**

Emilys rocket stayed in the air for about seconds and Kenjis rocket stayed in the air for

about seconds.

Therefore, Emilys rocket stayed in the air about seconds more than Kenjis rocket did.

**c.**

**Find how much higher than Kenji’s rocket did Emilys rocket go.**

Emilys rocket reached a height of about and Kenji’s rocket reached a height of about .

Therefore, Emilys rocket reached height of about more than Kenji’s rocket did.
**d.**

**Describe the type of transformation between the two graphs.**

A dilation in the red graph is an expansion of the blue graph.

**a. **The graph is shown as a quadratic function.

**b. **Emilys rocket stayed in the air about seconds more than Kenjis rocket did.

**c. **Emilys rocket reached height of about more than Kenji’s rocket did.

**d. **A dilation in the red graph is an expansion of the blue graph.

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