Project 10.2 Minimum Value
2. Complete the following table using a graphics calculator or
otherwise:
3. Plot the graph of N against x.
4. State the minimum value of N and the value of x
for which it occurs.
Project 10.3 Vertical Translation
3. What do the graphs have in common?
4. What are the coordinates of the y-intercepts and
turning points in terms of c?
Project 10.4 Dilation
3. What does the family of parabolas have in common?
4. What do the turning points have in common?
Project 10.5 Vertical Translation
3. What does the family of parabolas have in common?
4. What do the turning points have in common?
Project 10.6 Transformations of
Quadratic Functions
Investigate how b affects the graph of y = x2
in the equation of y = (x - b)2.
Note:
If you have a TI-83 Graphing Calculator, clear all the Y=
entries before graphing each new set of quadratic functions in the project's
questions. The calculator will display the graphs in order.
The graph of Y1 will be displayed first, followed by Y2,
etc. Set Y1, Y2 and Y3 to graph a
dotted, solid and thick line respectively.
Suggested dimensions of the viewing window for this project are [-10,
10], Xscl = 1 and Yscl = 1, i.e. use ZOOM 6.
1. Graph the following quadratic functions on the same set
of axes:
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