use the letters in the equation f(x)=(x-a)^2+b, to describe how the graph is shift from the graph of f(x)=x^2 give an example with a>0 and b<0, and then sketch the function
use the letters in the equation f(x)=(x-a)^2+b, to describe how the graph is shift from the graph of f(x)=x^2 give an example with a>0 and b<0, and then sketch the function
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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use the letters in the equation f(x)=(x-a)^2+b, to describe how the graph is shift from the graph of f(x)=x^2 give an example with a>0 and b<0, and then sketch the function
Expert Solution
Step 1
The graph of can be obtained from the graph of as follows:
First shift horizontally a units to the right (if a>0) or
When a<0 shift horizontally a units to the left.
Now for a>0 shift the resulting graph vertically b units upwards .
Or when a<0, shift the resulting graph vertically b units downwards.
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