Firefighter (pp. 1 of 2)

Squaring and Rooting: Inverses (pp. 3 of 4)
Algebra 2
HS Mathematics
Unit: 07 Lesson: 01
4. Review of Quadratic Transformations
2
y 2x
2
x
-2
A. For the equation above,
complete the table. Then plot
points to construct the graph.
-1
0
1
2
y
4
B. This graph is a transformation of the parent graph
2
y x . Tell how each constant in the equation
changes the graph of the parent function.
What affect does the “2” have on the graph?
What affect does the “2” coefficient have on the
graph?
-4
-4
4
5. 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 2x
2.
B. Is this inverse a function? Explain.
x
y
-2
-1
0
1
2
-4
4
4
-4
6. 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
2x
2
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
2
of y 2x
2.
Notation:
Does this graph match your
answer from #5? Explain.
©2010, TESCCC 08/01/10 page 17 of 18