Algebra 1

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

Chapter 4 - An Introduction to Functions - 4-4 Graphing a Function Rule - Lesson Check: 8

Answer

The graph of y=x+3 is shown below.
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Work Step by Step

The graph of the first friend with y intercept of (0,2) is wrong because according to the equation y=x+3, the y intercept is 3. The slope of my friend's graph is 1 which is the same slope as the equation of y=x+3 so if my friend moved the graph up by 1 unit he would fix his graph. The graph of my second friend with y intercept of (0,1) is wrong because according to the equation y=x+3, the y intercept is 3 and his y intercept is 1. The slope of my friend's graph is -1 as his graph is going down 1 unit and across 1 unit as opposed to the slope of the original equation of y=x+3 which is 1. So if my friend moved the graph up by 2 units and changed his slope to 1 i.e. moving up 1 unit while moving 1 unit across he would fix his graph.
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