Kenji launched a toy rocket from ground level.
\The height
of Kenji
s rocket after
seconds is shown in blue.
Emily believed that her rocket could fly higher and longer than Kenji
s.
The flight of Emily
s 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 Kenji
s rocket did Emily
s rocket stay in the air.
Emily
s rocket stayed in the air for about
seconds and Kenji
s rocket stayed in the air for
about
seconds.
Therefore, Emily
s rocket stayed in the air about
seconds more than Kenji
s rocket did.
c.
\Find how much higher than Kenji’s rocket did Emily
s rocket go.
Emily
s rocket reached a height of about
and Kenji’s rocket reached a height of about
.
Therefore, Emily
s 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. Emily
s rocket stayed in the air about
seconds more than Kenji
s rocket did.
c. Emily
s 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.