1.3 Maximum Or Minimum Of A Quadratic Function Worksheet - Mcgraw-Hill Education Canada Page 9
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9Use technology
Use a tI-Nspire™ CaS Graphing Calculator to Find the
tools
Maximum or Minimum and the Zeros of a Quadratic Function
• TI-Nspire™ CAS
graphing calculator
Jamie throws a ball that will move through the air in a parabolic path
due to gravity. The height, h, in metres, of the ball above the ground after
t seconds can be modelled by the function h(t) = 4.9t
40t 1.5.
2
Connections
a)
Find the zeros of the function and interpret their meaning.
Example 4 on page
29 is used to model
b)
Determine the time needed for the ball to reach its maximum height.
the steps needed to
find the maximum or
c)
What is the maximum height of the ball?
minimum and the zeros
of a quadratic function
using a TI-Nspire
CAS
TM
Solution
graphing calculator.
a)
Turn on the TI-Nspire
TM
CAS graphing calculator.
• Press c and select 6:New Document.
• Select 2:Add Graphs & Geometry.
• Type 4.9x
40x 1.5 for function f1 and press ·.
2
• Press b. Select 4:Window.
• Select 1:Window Settings. Set XMin to 2, XMax to 10,
Ymin to 40, and YMax to 100. Tab down to OK and press ·.
• Press b and select 6:Points & Lines.
• Select 2:Point On. Move the cursor to the graph and press ·.
• Press d.
• Press / and then x to grab the
point. Use the cursor keys (the arrows
on the NavPad) to move the point
along the graph toward the left zero.
When you reach the zero, “zero” will
appear in a box. Read the coordinates
of the zero. It occurs at a time of
approximately 0.037 s.
Similarly, you can find the right zero
at a time of about 8.20 s.
b)
To find the maximum height of the ball,
move the point toward the maximum
on the graph. When you reach the
maximum, “maximum” will appear
inside a box. Read the coordinates of
the maximum. It occurs at a time of
approximately 4.08 s.
c)
The maximum height of the ball is
approximately 83.13 m.
Use Technology: Use a TI-Nspire™ CAS Graphing Calculator
to Find the Maximum or Minimum and the Zeros of a Quadratic Function • MHR 33
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