Answer
The graph and data table are shown below:
Work Step by Step
To graph the given equation we calculate the domain and range and plot the points.
We calculate the range for the values x= 0, 1, 2, 3, 4
$y= x^{2} - 4x + 1$
x=0
$y= x^{2} - 4x + 1$
$y= 0^{2} - 4(0) + 1$
$y= 1$
x=1
$y= x^{2} - 4x + 1$
$y= 1^{2} - 4(1) + 1$
$y= -2$
x=2
$y= x^{2} - 4x + 1$
$y= 2^{2} - 4(2) + 1$
$y= -3$
x=3
$y= x^{2} - 4x + 1$
$y= 3^{2} - 4(3) + 1$
$y= -2$
x=4
$y= x^{2} - 4x + 1$
$y= 4^{2} - 4(4) + 1$
$y= 1$
We plot the points and connect the graph to get the final graph
(0,1) (1,-2) (2,-3) (3,-2) (4,1)
