Use the graph of y = f(x) to graph the function g(x) = f(x - 1) + 2 yTIL4-y = flx)(2, 2)2-(-4,0)1t (4. 0)-5-43-2-1 N 2 3 4 5-2(-2,-2) -3-(0, 0)

Answered: y TIL 4- y = flx) (2, 2) 2- (-4,0) 1t…

Math

Calculus

y TIL 4- y = flx) (2, 2) 2- (-4,0) 1t (4. 0) -5-43-2-1 N 2 3 4 5 -2 (-2,-2) -3- (0, 0)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.3: Algebraic Expressions

Problem 32E

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Concept explainers

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.

Question

Use the graph of y = f(x) to graph the function g(x) = f(x - 1) + 2

y
TIL
4-
y = flx)
(2, 2)
2-
(-4,0)
1t (4. 0)
-5-43-2-1 N 2 3 4 5
-2
(-2,-2) -3-
(0, 0)

Expert Solution

Step 1

The original function is $f (x)$ .

For $f (x - 1)$ the graph of $f (x)$ shifts 1 unit to the right horizontally.

then for $f (x - 1) + 2$ , the graph of $f (x - 1)$ shifts 2 units up vertically.

Step by step

Solved in 2 steps with 1 images

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