Math Problem Statement

Describe verbally the transformations that can be used to obtain the graph of g from the graph of f. ​g(x)equals=7 Superscript x plus 97x+9​; ​ f(x)equals=7 Superscript x7x Question content area bottom Part 1 Select the correct choice below​ and, if​ necessary, fill in the answer​ box(es) within your choice. ​(Type integers or simplified​ fractions.) A. The graph of g is the graph of f shifted enter your response here ​unit(s) to the right and stretched horizontally by a factor of enter your response here. B. The graph of g is the graph of f shifted enter your response here ​unit(s) to the left and stretched horizontally by a factor of enter your response here. C. The graph of g is the graph of f shifted enter your response here ​unit(s) up. D. The graph of g is the graph of f reflected in the​ y-axis. E. The graph of g is the graph of f shifted enter your response here ​unit(s) down and stretched horizontally by a factor of enter your response here. F. The graph of g is the graph of f shifted enter your response here ​unit(s) to the leftleft. G. The graph of g is the graph of f reflected in the​ x-axis. H. The graph of g is the graph of f shifted enter your response here ​unit(s) down. I. The graph of g is the graph of f shifted enter your response here ​unit(s) up and stretched horizontally by a factor of enter your response here. J. The graph of g is the graph of f shifted enter your response here ​unit(s) to the rightright.

Solution

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Math Problem Analysis

Mathematical Concepts

Exponential Functions
Graph Transformations

Formulas

g(x) = f(x) + c (Vertical Shift Formula)
f(x) = 7^x (Exponential Function)

Theorems

Vertical Shift Theorem

Suitable Grade Level

Grades 9-11