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Tamil Nadu Board of Secondary EducationHSC Science Class 11

From the curve y = x, draw y = x + 1 - Mathematics

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Question

From the curve y = x, draw y = x + 1

Diagram
Graph

Solution

x 0 1 2 3 − 1 − 2 − 3
y 0 1 2 3 − 1 − 2 − 3


y = x + 1

x 0 1 2 3 − 1 − 2 − 3 − 4
y 1 2 3 4 0 − 1 − 2 − 3

The graph of y = x + 1 causes the graph y = x shift to upward by 1 unit.

The graph of y = f(x) + d, d > 0 causes the graph y = f(x) a shift to the upward by d units.

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Graphing Functions Using Transformations
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Chapter 1: Sets, Relations and Functions - Exercise 1.4 [Page 44]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 1 Sets, Relations and Functions
Exercise 1.4 | Q 6. (iii) | Page 44
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