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To graph: Complete the square of the
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given:
Add +5 and
Graph:
Now use the following steps to obtain the graph of .
Step 1: The function is the square function.
square function.
Step 2: To obtain the graph of , multiply by in the graph of , that it is reflection about the .
multiply by reflection about the .
Step 3: To obtain the graph of , replace by from each on the graph of , that it is shifted left 3 units.
replace by ; horizontal shift left 3 units.
Step 4: To obtain the graph of , multiply each of the graph of by 2, that it is vertically stretched by the factor of 2.
multiply by 2, vertically stretched by a factor of 2.
Step 5: To obtain the graph of , add 5 from each on the graph of , that it is shifted up 5 units.
add 5, vertically shift up 5 units.
Chapter 2 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
University Calculus: Early Transcendentals (4th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
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