The Inverse Of A Quadratic Functions Worksheet Page 6
ADVERTISEMENT
1
2
3
4
5
6
7
8In Summary
Key Ideas
• The inverse of the original function undoes what the original function has
done. It can be used to determine which values of the original dependent
variable produce given values for the original independent variable.
• The inverse of a quadratic function defined over all the real numbers is not a
function. It is a parabolic relation that opens either to the left or to the right.
If the original quadratic opens up
(a . 0),
the inverse opens to the
right. If the original quadratic opens down
(a , 0),
the inverse opens to
the left.
Need to Know
• The equation of the inverse of a quadratic can be found by interchanging
x and y in vertex form and solving for y.
• In the equation of the inverse of a quadratic function, the positive square root
function represents the upper branch of the parabola, while the negative root
represents the lower branch.
• The inverse of a quadratic function can be a function if the domain of the
original function is restricted.
CHECK Your Understanding
Each set of ordered pairs defines a parabola. Graph the relation and
1.
its inverse.
5(0, 0), (1, 3), (2, 12), (3, 27) 6
a)
5(23, 24), (22, 1), (21, 4), (0, 5), (1, 4), (2, 1), (3, 24)6
b)
Given the graph of
f (x),
graph the inverse relation.
2.
a)
y
b)
y
4
8
2
6
x
0
8
6
4
2
2
4
2
2
4
x
0
6
4
2
2
4
6
6
2
8
2
Given
f (x) 5 2x
2 1,
determine the equation of the inverse.
3.
160
3.3 The Inverse of a Quadratic Function
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education