Firefighter (pp. 1 of 2)

Squaring and Rooting: Inverses (pp. 4 of 4)
Algebra 2
HS Mathematics
Unit: 07 Lesson: 01
7. Review of Quadratic Transformations
2
y ( x 3) 1
x
0
y
A. For the equation above,
complete the table. Then plot
points to construct the graph.
B. This graph is a transformation of
2
the parent graph y x . Tell
how each constant in the
equation changes the graph of
the parent function.
What affect does the “3” have on the graph?
1
2
3
4
5
6
-4
-4
4
4
What affect does the “1” have on the graph?
8. Inverse with Coordinates
A. Again, recall that an inverse
can be formed by switching
the x- and y- coordinates in a
relation. Use this method to
make a table and graph for
2
the inverse of y ( x3) 1.
x
y
0
1
2
3
4
B. Is this inverse a function?
Explain.
4
5
6
-4
-4
4
9. Inverse with Algebra
Remember that another way
to find an inverse is to switch
the x and y variables in an
equation, then solve for the
“new” y.
Equation:
Inverse:
Solve:
y
2
( x 3) 1
B. Use a calculator to help you
sketch the graph of this
inverse equation in the box
below.
A. Use this algebraic method
to find the inverse of
2
y ( x3) 1.
Notation:
Does this graph match your
answer from #8? Explain.
©2010, TESCCC 08/01/10 page 18 of 18