Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 9 - Quadratic Functions and Equations - 9-2 Quadratic Functions - Lesson Check - Page 544: 1

Answer

The graph and data table are shown below:
1516765981

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)
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