March 30, 2016
Bell Ringer #3
yes, write this down
The midpoint of line segment
MN is located at (–5, –8). The
endpoint M is located at (3, 4).
What are the coordinates of
endpoint N?
March 30, 2016
Notes: Quadratic Word Problems
Vocabulary:
Domain: The complete set of all x values.
Range: The complete set of all y values.
This is where the practical and real(math)
graphs come into play.
(We will talk more about this on the next
slide.)
March 30, 2016
Ex.1
"The Blob" equation:
2
h(t)= -2.5t +13t
Graph this in your calculator. Do not Zoom
Fit.
What the graph looks like without changing
anything:
What do we
need to
change to see
the graph
better?
What the graph looks like after:
March 30, 2016
The different things you can solve for:
How do we find the maximum height?
How do we find what time something reaches
the maximum height?
How do we find how long it takes something
to get a certain height?
How do we find how long it takes something
to hit the ground?
How do we find the height after a certain
time?
March 30, 2016
Ex.2
Sam jumped off a cliff into the ocean while
vacationing with some friends. His height as a
function of time could be modeled by the
function h(t)= -16t +16t+480, where t is the
time in seconds and h is the height in feet.
1. How long did it take for Sam to reach the
maximum height?
2. What was the highest point that Sam
reached?
3. Sam hit the water after how many
seconds?
March 30, 2016
Ex.3
If a toy rocket is launched vertically upward
from ground level with an initial velocity of 128
feet per second, then its height h after t
seconds is given by the equation
h(t)=
2
-16t +128t.
1.) How long will it take for the rocket to return
to the ground?
2. After how many seconds will the rocket be
112 feet above the ground?
3. How long will it take the rocket to hit its
maximum height?
4. What is the maximum height?