The Inverse Of A Quadratic Functions Worksheet Page 4
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Using a graphing calculator as a strategy
EXAMPLE
to graph a quadratic function and its inverse
2
Using a graphing calculator, graph
f (x) 5 22(x 1 1)
1 4
and its inverse.
Bonnie’s Solution
I entered the function into the
equation editor at Y1. I used
WINDOW settings
210 # x # 10,
210 # y # 10,
because I knew the
vertex was located at
(21, 4)
and
the parabola opened down.
To graph the inverse, I needed to
2
f (x) 5 22(x 1 1)
1 4
find the equation of the inverse.
2
y 5 22(x 1 1)
1 4
I switched x and y and used inverse
operations with the original
2
x 5 22( y 1 1)
1 4
function.
2
x 2 4 5 22( y 1 1)
x 2 4
2
5 ( y 1 1)
22
x 2 4
Å
5 y 1 1
6
22
x 2 4
Å
2 1 5 y
6
22
I entered both parts of the inverse
x 2 4
Ä
separately. I entered
y 5
2 1
22
x 2 4
Ä
into Y2 and
y 5 2
2 1
22
into Y3.
The calculator displayed the function
and its inverse.
158
3.3 The Inverse of a Quadratic Function
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