Starting with the graph of f(x) = 9², write the equation of the graph that results when: (a) f(x) is shifted 1 units upward. y (b) f(x) is shifted 1 units to the right. y = (c) f(x) is reflected about the x-axis. y =

Starting with the graph of f(x) = 9², write the equation of the graph that results when: (a) f(x) is shifted 1 units upward. y (b) f(x) is shifted 1 units to the right. y = (c) f(x) is reflected about the x-axis. y =

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section: Chapter Questions

Problem 56RE: For the following exercises, write the equation for the standard function represented by each of the...

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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

Starting with the graph of f(x) = 9², write the equation of the graph that results when:
(a) f(x) is shifted 1 units upward. y
(b) f(x) is shifted 1 units to the right. y =
(c) f(x) is reflected about the x-axis. y =

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